54665222400 has 324 divisors, whose sum is σ = 203942863488. Its totient is φ = 13943255040.

The previous prime is 54665222351. The next prime is 54665222419. The reversal of 54665222400 is 422256645.

54665222400 is a `hidden beast` number, since 54 + 66 + 522 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1304169 + ... + 1345431.

Almost surely, 2^54665222400 is an apocalyptic number.

54665222400 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 54665222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101971431744).

54665222400 is an abundant number, since it is smaller than the sum of its proper divisors (149277641088).

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

54665222400 is a wasteful number, since it uses less digits than its factorization.

54665222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41318 (or 41296 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 54665222400 in words is "fifty-four billion, six hundred sixty-five million, two hundred twenty-two thousand, four hundred".