56453654400 has 1536 divisors, whose sum is σ = 240959577600. Its totient is φ = 11403264000.

The previous prime is 56453654371. The next prime is 56453654407. The reversal of 56453654400 is 445635465.

It is a super-2 number, since 2×56453654400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56453654407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 956841571 + ... + 956841629.

It is an arithmetic number, because the mean of its divisors is an integer number (156874725).

Almost surely, 2^56453654400 is an apocalyptic number.

56453654400 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 56453654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120479788800).

56453654400 is an abundant number, since it is smaller than the sum of its proper divisors (184505923200).

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

56453654400 is a wasteful number, since it uses less digits than its factorization.

56453654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 56453654400 in words is "fifty-six billion, four hundred fifty-three million, six hundred fifty-four thousand, four hundred".