21011764384968 has 128 divisors (see below), whose sum is σ = 61985144832000. Its totient is φ = 5808301551360.

The previous prime is 21011764384939. The next prime is 21011764384973. The reversal of 21011764384968 is 86948346711012.

It is a super-2 number, since 2×21011764384968² (a number of 27 digits) contains 22 as substring.

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, 21175038 + ... + 22145106.

It is an arithmetic number, because the mean of its divisors is an integer number (484258944000).

Almost surely, 2^{21011764384968} is an apocalyptic number.

21011764384968 is a gapful number since it is divisible by the number (28) 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 21011764384968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30992572416000).

21011764384968 is an abundant number, since it is smaller than the sum of its proper divisors (40973380447032).

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

21011764384968 is a wasteful number, since it uses less digits than its factorization.

21011764384968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974275 (or 974271 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 21011764384968 in words is "twenty-one trillion, eleven billion, seven hundred sixty-four million, three hundred eighty-four thousand, nine hundred sixty-eight".