54164678400 has 648 divisors, whose sum is σ = 231079637040. Its totient is φ = 12378562560.

The previous prime is 54164678387. The next prime is 54164678413. The reversal of 54164678400 is 487646145.

54164678400 is a `hidden beast` number, since 541 + 6 + 4 + 67 + 8 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54164678387) and next prime (54164678413).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8464002 + ... + 8470398.

Almost surely, 2^54164678400 is an apocalyptic number.

54164678400 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 54164678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115539818520).

54164678400 is an abundant number, since it is smaller than the sum of its proper divisors (176914958640).

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

54164678400 is a wasteful number, since it uses less digits than its factorization.

54164678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54164678400 in words is "fifty-four billion, one hundred sixty-four million, six hundred seventy-eight thousand, four hundred".