21159482400 has 216 divisors, whose sum is σ = 85272917184. Its totient is φ = 4836441600.

The previous prime is 21159482317. The next prime is 21159482437. The reversal of 21159482400 is 428495112.

21159482400 is a `hidden beast` number, since 21 + 1 + 594 + 8 + 2 + 40 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159516 + ... + 260315.

It is an arithmetic number, because the mean of its divisors is an integer number (394782024).

Almost surely, 2^21159482400 is an apocalyptic number.

21159482400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21159482400 is an abundant number, since it is smaller than the sum of its proper divisors (64113434784).

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

21159482400 is a wasteful number, since it uses less digits than its factorization.

21159482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419864 (or 419848 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 21159482400 in words is "twenty-one billion, one hundred fifty-nine million, four hundred eighty-two thousand, four hundred".