21188117760 has 288 divisors, whose sum is σ = 70525848960. Its totient is φ = 5416550400.

The previous prime is 21188117759. The next prime is 21188117789. The reversal of 21188117760 is 6771188112.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9287820 + ... + 9290100.

It is an arithmetic number, because the mean of its divisors is an integer number (244881420).

Almost surely, 2^21188117760 is an apocalyptic number.

21188117760 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 21188117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35262924480).

21188117760 is an abundant number, since it is smaller than the sum of its proper divisors (49337731200).

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

21188117760 is a wasteful number, since it uses less digits than its factorization.

21188117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 42.

The spelling of 21188117760 in words is "twenty-one billion, one hundred eighty-eight million, one hundred seventeen thousand, seven hundred sixty".