32056505752320 has 5184 divisors, whose sum is σ = 155050553548800. Its totient is φ = 5939480494080.

The previous prime is 32056505752307. The next prime is 32056505752321. The reversal of 32056505752320 is 2325750565023.

32056505752320 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 6 + 50 + 57 + 523 + 20 = 666.

It is a super-2 number, since 2×32056505752320² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (32056505752321) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 866392047342 + ... + 866392047378.

It is an arithmetic number, because the mean of its divisors is an integer number (29909443200).

Almost surely, 2^{32056505752320} is an apocalyptic number.

32056505752320 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 32056505752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77525276774400).

32056505752320 is an abundant number, since it is smaller than the sum of its proper divisors (122994047796480).

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

32056505752320 is a wasteful number, since it uses less digits than its factorization.

32056505752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 32056505752320 in words is "thirty-two trillion, fifty-six billion, five hundred five million, seven hundred fifty-two thousand, three hundred twenty".