56329520601600 has 1920 divisors, whose sum is σ = 216429564764160. Its totient is φ = 14338695168000.

The previous prime is 56329520601593. The next prime is 56329520601611. The reversal of 56329520601600 is 610602592365.

56329520601600 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 9 + 520 + 60 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207858009465 + ... + 207858009735.

It is an arithmetic number, because the mean of its divisors is an integer number (112723731648).

Almost surely, 2^{56329520601600} is an apocalyptic number.

56329520601600 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 56329520601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108214782382080).

56329520601600 is an abundant number, since it is smaller than the sum of its proper divisors (160100044162560).

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

56329520601600 is a wasteful number, since it uses less digits than its factorization.

56329520601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 56329520601600 in words is "fifty-six trillion, three hundred twenty-nine billion, five hundred twenty million, six hundred one thousand, six hundred".