5957812949760 has 576 divisors, whose sum is σ = 25583567385600. Its totient is φ = 1281679884288.

The previous prime is 5957812949687. The next prime is 5957812949773. The reversal of 5957812949760 is 679492187595.

5957812949760 is a `hidden beast` number, since 5 + 9 + 5 + 7 + 8 + 129 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3388311 + ... + 4836969.

It is an arithmetic number, because the mean of its divisors is an integer number (44415915600).

Almost surely, 2^{5957812949760} 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 5957812949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791783692800).

5957812949760 is an abundant number, since it is smaller than the sum of its proper divisors (19625754435840).

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

5957812949760 is a wasteful number, since it uses less digits than its factorization.

5957812949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448713 (or 1448693 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 5957812949760 in words is "five trillion, nine hundred fifty-seven billion, eight hundred twelve million, nine hundred forty-nine thousand, seven hundred sixty".