21917900160 has 768 divisors, whose sum is σ = 87106743360. Its totient is φ = 5231443968.

The previous prime is 21917900143. The next prime is 21917900161. The reversal of 21917900160 is 6100971912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21917900161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74804974 + ... + 74805266.

Almost surely, 2^21917900160 is an apocalyptic number.

21917900160 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 21917900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43553371680).

21917900160 is an abundant number, since it is smaller than the sum of its proper divisors (65188843200).

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

21917900160 is a wasteful number, since it uses less digits than its factorization.

21917900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 21917900160 in words is "twenty-one billion, nine hundred seventeen million, nine hundred thousand, one hundred sixty".