55064572416 has 600 divisors, whose sum is σ = 194170965120. Its totient is φ = 15533586432.

The previous prime is 55064572373. The next prime is 55064572457. The reversal of 55064572416 is 61427546055.

55064572416 is a `hidden beast` number, since 5 + 5 + 0 + 64 + 572 + 4 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 697019865 + ... + 697019943.

Almost surely, 2^55064572416 is an apocalyptic number.

55064572416 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 55064572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97085482560).

55064572416 is an abundant number, since it is smaller than the sum of its proper divisors (139106392704).

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

55064572416 is an frugal number, since it uses more digits than its factorization.

55064572416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 55064572416 in words is "fifty-five billion, sixty-four million, five hundred seventy-two thousand, four hundred sixteen".