21867752485920 has 384 divisors, whose sum is σ = 75912260659200. Its totient is φ = 5247268782080.

The previous prime is 21867752485883. The next prime is 21867752485961. The reversal of 21867752485920 is 2958425776812.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 690930256 + ... + 690961904.

It is an arithmetic number, because the mean of its divisors is an integer number (197688178800).

Almost surely, 2^{21867752485920} is an apocalyptic number.

21867752485920 is a gapful number since it is divisible by the number (20) 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 21867752485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37956130329600).

21867752485920 is an abundant number, since it is smaller than the sum of its proper divisors (54044508173280).

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

21867752485920 is a wasteful number, since it uses less digits than its factorization.

21867752485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33008 (or 33000 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 21867752485920 in words is "twenty-one trillion, eight hundred sixty-seven billion, seven hundred fifty-two million, four hundred eighty-five thousand, nine hundred twenty".