21162701952 has 256 divisors, whose sum is σ = 72191520000. Its totient is φ = 5977939968.

The previous prime is 21162701897. The next prime is 21162701969. The reversal of 21162701952 is 25910726112.

21162701952 is a `hidden beast` number, since 2 + 11 + 627 + 0 + 19 + 5 + 2 = 666.

It is a super-2 number, since 2×21162701952² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2148174 + ... + 2158002.

It is an arithmetic number, because the mean of its divisors is an integer number (281998125).

Almost surely, 2^21162701952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21162701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36095760000).

21162701952 is an abundant number, since it is smaller than the sum of its proper divisors (51028818048).

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

21162701952 is an equidigital number, since it uses as much as digits as its factorization.

21162701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9948 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 21162701952 in words is "twenty-one billion, one hundred sixty-two million, seven hundred one thousand, nine hundred fifty-two".