21428514172800 has 288 divisors, whose sum is σ = 87384971416080. Its totient is φ = 4897946050560.

The previous prime is 21428514172763. The next prime is 21428514172823. The reversal of 21428514172800 is 827141582412.

21428514172800 is a `hidden beast` number, since 2 + 1 + 42 + 8 + 514 + 17 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52944517 + ... + 53347716.

Almost surely, 2^{21428514172800} is an apocalyptic number.

21428514172800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21428514172800 is an abundant number, since it is smaller than the sum of its proper divisors (65956457243280).

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

21428514172800 is a wasteful number, since it uses less digits than its factorization.

21428514172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106292270 (or 106292250 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 21428514172800 in words is "twenty-one trillion, four hundred twenty-eight billion, five hundred fourteen million, one hundred seventy-two thousand, eight hundred".