54664514150400 has 2016 divisors, whose sum is σ = 254869523645760. Its totient is φ = 11358240768000.

The previous prime is 54664514150333. The next prime is 54664514150429. The reversal of 54664514150400 is 405141546645.

54664514150400 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 451 + 4 + 150 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2980445230 + ... + 2980463570.

Almost surely, 2^{54664514150400} is an apocalyptic number.

54664514150400 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 54664514150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127434761822880).

54664514150400 is an abundant number, since it is smaller than the sum of its proper divisors (200205009495360).

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

54664514150400 is a wasteful number, since it uses less digits than its factorization.

54664514150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18411 (or 18369 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 54664514150400 in words is "fifty-four trillion, six hundred sixty-four billion, five hundred fourteen million, one hundred fifty thousand, four hundred".