54415872000 has 936 divisors, whose sum is σ = 229136934312. Its totient is φ = 12386304000.

The previous prime is 54415871989. The next prime is 54415872089. The reversal of 54415872000 is 27851445.

54415872000 is a `hidden beast` number, since 5 + 441 + 5 + 8 + 7 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 354041856 + 54061830144 = 18816^2 + 232512^2 .

It is a super-2 number, since 2×54415872000² (a number of 22 digits) contains 22 as substring.

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

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, 225791880 + ... + 225792120.

It is an arithmetic number, because the mean of its divisors is an integer number (244804417).

Almost surely, 2^54415872000 is an apocalyptic number.

54415872000 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 54415872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114568467156).

54415872000 is an abundant number, since it is smaller than the sum of its proper divisors (174721062312).

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

54415872000 is a wasteful number, since it uses less digits than its factorization.

54415872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 54415872000 in words is "fifty-four billion, four hundred fifteen million, eight hundred seventy-two thousand".