54013132800 has 1020 divisors, whose sum is σ = 224191178376. Its totient is φ = 12740198400.

The previous prime is 54013132799. The next prime is 54013132829. The reversal of 54013132800 is 823131045.

It is a happy number.

54013132800 is a `hidden beast` number, since 540 + 13 + 1 + 32 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1459814382 + ... + 1459814418.

Almost surely, 2^54013132800 is an apocalyptic number.

54013132800 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 54013132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112095589188).

54013132800 is an abundant number, since it is smaller than the sum of its proper divisors (170178045576).

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

54013132800 is an equidigital number, since it uses as much as digits as its factorization.

54013132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 54013132800 its reverse (823131045), we get a palindrome (54836263845).

The spelling of 54013132800 in words is "fifty-four billion, thirteen million, one hundred thirty-two thousand, eight hundred".