21958718440960 has 960 divisors, whose sum is σ = 66289721186304. Its totient is φ = 6940665446400.

The previous prime is 21958718440957. The next prime is 21958718440987. The reversal of 21958718440960 is 6904481785912.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 21958718440892 and 21958718440901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6855670719 + ... + 6855673921.

Almost surely, 2^{21958718440960} is an apocalyptic number.

21958718440960 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 21958718440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33144860593152).

21958718440960 is an abundant number, since it is smaller than the sum of its proper divisors (44331002745344).

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

21958718440960 is a wasteful number, since it uses less digits than its factorization.

21958718440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

The spelling of 21958718440960 in words is "twenty-one trillion, nine hundred fifty-eight billion, seven hundred eighteen million, four hundred forty thousand, nine hundred sixty".