56445210432 has 504 divisors, whose sum is σ = 193693840704. Its totient is φ = 15624880128.

The previous prime is 56445210427. The next prime is 56445210457. The reversal of 56445210432 is 23401254465.

56445210432 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 5 + 210 + 432 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38060763 + ... + 38062245.

It is an arithmetic number, because the mean of its divisors is an integer number (384313176).

Almost surely, 2^56445210432 is an apocalyptic number.

56445210432 is a gapful number since it is divisible by the number (52) 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 56445210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96846920352).

56445210432 is an abundant number, since it is smaller than the sum of its proper divisors (137248630272).

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

56445210432 is a wasteful number, since it uses less digits than its factorization.

56445210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 56445210432 its reverse (23401254465), we get a palindrome (79846464897).

The spelling of 56445210432 in words is "fifty-six billion, four hundred forty-five million, two hundred ten thousand, four hundred thirty-two".