32401900056960 has 512 divisors, whose sum is σ = 131195468160000. Its totient is φ = 7403611963392.

The previous prime is 32401900056919. The next prime is 32401900056961. The reversal of 32401900056960 is 6965000910423.

32401900056960 is a `hidden beast` number, since 3 + 24 + 0 + 1 + 9 + 0 + 0 + 0 + 569 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32401900056961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365133876 + ... + 365222604.

It is an arithmetic number, because the mean of its divisors is an integer number (256241148750).

Almost surely, 2^{32401900056960} is an apocalyptic number.

32401900056960 is a gapful number since it is divisible by the number (30) 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 32401900056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65597734080000).

32401900056960 is an abundant number, since it is smaller than the sum of its proper divisors (98793568103040).

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

32401900056960 is a wasteful number, since it uses less digits than its factorization.

32401900056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91783 (or 91765 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 32401900056960 in words is "thirty-two trillion, four hundred one billion, nine hundred million, fifty-six thousand, nine hundred sixty".