54643802400 has 432 divisors, whose sum is σ = 221274275040. Its totient is φ = 12549427200.

The previous prime is 54643802387. The next prime is 54643802417. The reversal of 54643802400 is 420834645.

54643802400 is a `hidden beast` number, since 5 + 4 + 643 + 8 + 0 + 2 + 4 + 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 71 ways as a sum of consecutive naturals, for example, 1486644 + ... + 1522956.

It is an arithmetic number, because the mean of its divisors is an integer number (512208970).

Almost surely, 2^54643802400 is an apocalyptic number.

54643802400 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 54643802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110637137520).

54643802400 is an abundant number, since it is smaller than the sum of its proper divisors (166630472640).

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

54643802400 is a wasteful number, since it uses less digits than its factorization.

54643802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36369 (or 36353 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 54643802400 in words is "fifty-four billion, six hundred forty-three million, eight hundred two thousand, four hundred".