5925627005760 has 672 divisors, whose sum is σ = 26352107937792. Its totient is φ = 1231297873920.

The previous prime is 5925627005759. The next prime is 5925627005761. The reversal of 5925627005760 is 675007265295.

5925627005760 is a `hidden beast` number, since 5 + 9 + 2 + 5 + 62 + 7 + 0 + 0 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5925627005759) and next prime (5925627005761).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×5925627005760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5925627005697 and 5925627005706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5925627005761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5492689 + ... + 6482351.

It is an arithmetic number, because the mean of its divisors is an integer number (39214446336).

Almost surely, 2^{5925627005760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5925627005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176053968896).

5925627005760 is an abundant number, since it is smaller than the sum of its proper divisors (20426480932032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5925627005760 is a wasteful number, since it uses less digits than its factorization.

5925627005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989713 (or 989691 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 5925627005760 in words is "five trillion, nine hundred twenty-five billion, six hundred twenty-seven million, five thousand, seven hundred sixty".