54864151200 has 432 divisors, whose sum is σ = 201438357120. Its totient is φ = 14571601920.

The previous prime is 54864151169. The next prime is 54864151231. The reversal of 54864151200 is 215146845.

It is a happy number.

54864151200 is a `hidden beast` number, since 5 + 4 + 8 + 641 + 5 + 1 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54864151169) and next prime (54864151231).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×54864151200² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71344416 + ... + 71345184.

Almost surely, 2^54864151200 is an apocalyptic number.

54864151200 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 54864151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100719178560).

54864151200 is an abundant number, since it is smaller than the sum of its proper divisors (146574205920).

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

54864151200 is a wasteful number, since it uses less digits than its factorization.

54864151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 54864151200 in words is "fifty-four billion, eight hundred sixty-four million, one hundred fifty-one thousand, two hundred".