54297912600 has 288 divisors, whose sum is σ = 190957777920. Its totient is φ = 14337544320.

The previous prime is 54297912593. The next prime is 54297912623. The reversal of 54297912600 is 621979245.

54297912600 is a `hidden beast` number, since 5 + 4 + 29 + 7 + 9 + 12 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5000377 + ... + 5011223.

It is an arithmetic number, because the mean of its divisors is an integer number (663047840).

Almost surely, 2^54297912600 is an apocalyptic number.

54297912600 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 54297912600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95478888960).

54297912600 is an abundant number, since it is smaller than the sum of its proper divisors (136659865320).

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

54297912600 is a wasteful number, since it uses less digits than its factorization.

54297912600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10981 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 54297912600 in words is "fifty-four billion, two hundred ninety-seven million, nine hundred twelve thousand, six hundred".