5461750425600 has 3888 divisors, whose sum is σ = 25874990144640. Its totient is φ = 1137062707200.

The previous prime is 5461750425557. The next prime is 5461750425641. The reversal of 5461750425600 is 65240571645.

5461750425600 is a `hidden beast` number, since 5 + 4 + 6 + 17 + 5 + 0 + 4 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×5461750425600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 323 ways as a sum of consecutive naturals, for example, 176185497585 + ... + 176185497615.

Almost surely, 2^{5461750425600} is an apocalyptic number.

5461750425600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461750425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12937495072320).

5461750425600 is an abundant number, since it is smaller than the sum of its proper divisors (20413239719040).

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

5461750425600 is a wasteful number, since it uses less digits than its factorization.

5461750425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 5461750425600 in words is "five trillion, four hundred sixty-one billion, seven hundred fifty million, four hundred twenty-five thousand, six hundred".