56455623254016 has 1568 divisors, whose sum is σ = 204964031674368. Its totient is φ = 15193164349440.

The previous prime is 56455623253979. The next prime is 56455623254029. The reversal of 56455623254016 is 61045232655465.

56455623254016 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 5 + 62 + 32 + 540 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68265565795 + ... + 68265566621.

Almost surely, 2^{56455623254016} is an apocalyptic number.

56455623254016 is a gapful number since it is divisible by the number (56) 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 56455623254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102482015837184).

56455623254016 is an abundant number, since it is smaller than the sum of its proper divisors (148508408420352).

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

56455623254016 is an frugal number, since it uses more digits than its factorization.

56455623254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 56455623254016 in words is "fifty-six trillion, four hundred fifty-five billion, six hundred twenty-three million, two hundred fifty-four thousand, sixteen".