56526001632 has 120 divisors (see below), whose sum is σ = 168346332000. Its totient is φ = 18603426816.

The previous prime is 56526001619. The next prime is 56526001667. The reversal of 56526001632 is 23610062565.

It is a happy number.

56526001632 is a `hidden beast` number, since 5 + 6 + 5 + 2 + 600 + 16 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 66744 + ... + 342792.

It is an arithmetic number, because the mean of its divisors is an integer number (1402886100).

Almost surely, 2^56526001632 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 56526001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84173166000).

56526001632 is an abundant number, since it is smaller than the sum of its proper divisors (111820330368).

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

56526001632 is a wasteful number, since it uses less digits than its factorization.

56526001632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276150 (or 276133 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 56526001632 in words is "fifty-six billion, five hundred twenty-six million, one thousand, six hundred thirty-two".