56482070400 has 576 divisors, whose sum is σ = 238299703200. Its totient is φ = 12463718400.

The previous prime is 56482070389. The next prime is 56482070423. The reversal of 56482070400 is 407028465.

56482070400 is a `hidden beast` number, since 5 + 6 + 48 + 207 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 5841570 + ... + 5851230.

Almost surely, 2^56482070400 is an apocalyptic number.

56482070400 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 56482070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119149851600).

56482070400 is an abundant number, since it is smaller than the sum of its proper divisors (181817632800).

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

56482070400 is a wasteful number, since it uses less digits than its factorization.

56482070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9727 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 56482070400 its reverse (407028465), we get a palindrome (56889098865).

The spelling of 56482070400 in words is "fifty-six billion, four hundred eighty-two million, seventy thousand, four hundred".