21350952000 has 784 divisors, whose sum is σ = 90775731072. Its totient is φ = 4870886400.

The previous prime is 21350951989. The next prime is 21350952043. The reversal of 21350952000 is 25905312.

21350952000 is a `hidden beast` number, since 2 + 135 + 0 + 9 + 520 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40823739 + ... + 40824261.

Almost surely, 2^21350952000 is an apocalyptic number.

21350952000 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 21350952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45387865536).

21350952000 is an abundant number, since it is smaller than the sum of its proper divisors (69424779072).

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

21350952000 is an frugal number, since it uses more digits than its factorization.

21350952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 21350952000 in words is "twenty-one billion, three hundred fifty million, nine hundred fifty-two thousand".