54156441600 has 432 divisors, whose sum is σ = 195222114360. Its totient is φ = 14347468800.

The previous prime is 54156441553. The next prime is 54156441613. The reversal of 54156441600 is 614465145.

54156441600 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 6 + 4 + 41 + 600 = 666.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97228522 + ... + 97229078.

Almost surely, 2^54156441600 is an apocalyptic number.

54156441600 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 54156441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97611057180).

54156441600 is an abundant number, since it is smaller than the sum of its proper divisors (141065672760).

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

54156441600 is a wasteful number, since it uses less digits than its factorization.

54156441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54156441600 in words is "fifty-four billion, one hundred fifty-six million, four hundred forty-one thousand, six hundred".