21035064960000 has 4125 divisors, whose sum is σ = 99155873651901. Its totient is φ = 4438167552000.

The previous prime is 21035064959963. The next prime is 21035064960017. The reversal of 21035064960000 is 6946053012.

It is a happy number.

The square root of 21035064960000 is 4586400.

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

21035064960000 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 5 + 0 + 6 + 49 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 20776968446976 + 258096513024 = 4558176^2 + 508032^2 .

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 374 ways as a sum of consecutive naturals, for example, 1618081919994 + ... + 1618081920006.

Almost surely, 2^{21035064960000} is an apocalyptic number.

21035064960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21035064960000 is the 4586400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21035064960000

21035064960000 is an abundant number, since it is smaller than the sum of its proper divisors (78120808691901).

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

21035064960000 is an frugal number, since it uses more digits than its factorization.

21035064960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 21035064960000 by its sum of digits (36), we get a square (757262338560000 = 27518400²).

21035064960000 divided by its sum of digits (36) gives a square (584307360000 = 764400²).

The spelling of 21035064960000 in words is "twenty-one trillion, thirty-five billion, sixty-four million, nine hundred sixty thousand".