21438750601920 has 56 divisors (see below), whose sum is σ = 68068033164144. Its totient is φ = 5717000160256.

The previous prime is 21438750601883. The next prime is 21438750601937. The reversal of 21438750601920 is 2910605783412.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21438750601920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11166014979 + ... + 11166016898.

It is a 1-persistent number, because it is pandigital, but 2⋅21438750601920 = 42877501203840 is not.

Almost surely, 2^{21438750601920} is an apocalyptic number.

21438750601920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21438750601920 is an abundant number, since it is smaller than the sum of its proper divisors (46629282562224).

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

21438750601920 is a wasteful number, since it uses less digits than its factorization.

21438750601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22332031897 (or 22332031887 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 21438750601920 in words is "twenty-one trillion, four hundred thirty-eight billion, seven hundred fifty million, six hundred one thousand, nine hundred twenty".