54626170368 has 640 divisors, whose sum is σ = 191878004736. Its totient is φ = 13396377600.

The previous prime is 54626170367. The next prime is 54626170429. The reversal of 54626170368 is 86307162645.

54626170368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54626170368² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54626170367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172322146 + ... + 172322462.

Almost surely, 2^54626170368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54626170368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95939002368).

54626170368 is an abundant number, since it is smaller than the sum of its proper divisors (137251834368).

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

54626170368 is a wasteful number, since it uses less digits than its factorization.

54626170368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 54626170368 in words is "fifty-four billion, six hundred twenty-six million, one hundred seventy thousand, three hundred sixty-eight".