54926864400 has 480 divisors, whose sum is σ = 191177188480. Its totient is φ = 13436928000.

The previous prime is 54926864353. The next prime is 54926864401. The reversal of 54926864400 is 446862945.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54926864400.

It is not an unprimeable number, because it can be changed into a prime (54926864401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101528130 + ... + 101528670.

Almost surely, 2^54926864400 is an apocalyptic number.

54926864400 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 54926864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95588594240).

54926864400 is an abundant number, since it is smaller than the sum of its proper divisors (136250324080).

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

54926864400 is a wasteful number, since it uses less digits than its factorization.

54926864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 54926864400 in words is "fifty-four billion, nine hundred twenty-six million, eight hundred sixty-four thousand, four hundred".