54807597600 has 648 divisors, whose sum is σ = 219191939568. Its totient is φ = 11858918400.

The previous prime is 54807597539. The next prime is 54807597613. The reversal of 54807597600 is 679570845.

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 107 ways as a sum of consecutive naturals, for example, 42452955 + ... + 42454245.

It is an arithmetic number, because the mean of its divisors is an integer number (338259166).

Almost surely, 2^54807597600 is an apocalyptic number.

54807597600 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 54807597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109595969784).

54807597600 is an abundant number, since it is smaller than the sum of its proper divisors (164384341968).

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

54807597600 is a wasteful number, since it uses less digits than its factorization.

54807597600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 54807597600 in words is "fifty-four billion, eight hundred seven million, five hundred ninety-seven thousand, six hundred".