21956126976 has 441 divisors, whose sum is σ = 76661191411. Its totient is φ = 6273179136.

The previous prime is 21956126963. The next prime is 21956126981. The reversal of 21956126976 is 67962165912.

The square root of 21956126976 is 148176.

It is a perfect power (a square), and thus also a powerful number.

21956126976 is a `hidden beast` number, since 2 + 1 + 9 + 561 + 2 + 6 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2449440) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 3136589565 + ... + 3136589571.

Almost surely, 2^21956126976 is an apocalyptic number.

21956126976 is the 148176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21956126976

21956126976 is an abundant number, since it is smaller than the sum of its proper divisors (54705064435).

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

21956126976 is an frugal number, since it uses more digits than its factorization.

21956126976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 12 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

Multiplying 21956126976 by its sum of digits (54), we get a cube (1185630856704 = 10584³).

The spelling of 21956126976 in words is "twenty-one billion, nine hundred fifty-six million, one hundred twenty-six thousand, nine hundred seventy-six".