21913139965920 has 768 divisors, whose sum is σ = 82090045900800. Its totient is φ = 4910163148800.

The previous prime is 21913139965877. The next prime is 21913139965961. The reversal of 21913139965920 is 2956993131912.

It is a super-2 number, since 2×21913139965920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3143468035 + ... + 3143475005.

It is an arithmetic number, because the mean of its divisors is an integer number (106888080600).

Almost surely, 2^{21913139965920} is an apocalyptic number.

21913139965920 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 21913139965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41045022950400).

21913139965920 is an abundant number, since it is smaller than the sum of its proper divisors (60176905934880).

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

21913139965920 is a wasteful number, since it uses less digits than its factorization.

21913139965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7362 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 60.

The spelling of 21913139965920 in words is "twenty-one trillion, nine hundred thirteen billion, one hundred thirty-nine million, nine hundred sixty-five thousand, nine hundred twenty".