54465136800 has 144 divisors (see below), whose sum is σ = 177682377600. Its totient is φ = 14491402240.

The previous prime is 54465136777. The next prime is 54465136861. The reversal of 54465136800 is 863156445.

It is a super-2 number, since 2×54465136800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1052329 + ... + 1102871.

It is an arithmetic number, because the mean of its divisors is an integer number (1233905400).

Almost surely, 2^54465136800 is an apocalyptic number.

54465136800 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 54465136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88841188800).

54465136800 is an abundant number, since it is smaller than the sum of its proper divisors (123217240800).

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

54465136800 is a wasteful number, since it uses less digits than its factorization.

54465136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51015 (or 51002 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 54465136800 in words is "fifty-four billion, four hundred sixty-five million, one hundred thirty-six thousand, eight hundred".