21075764000 has 96 divisors (see below), whose sum is σ = 51891840000. Its totient is φ = 8412614400.

The previous prime is 21075763981. The next prime is 21075764009. The reversal of 21075764000 is 46757012.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (21075764009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990721 + ... + 2001279.

It is an arithmetic number, because the mean of its divisors is an integer number (540540000).

Almost surely, 2^21075764000 is an apocalyptic number.

21075764000 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 21075764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920000).

21075764000 is an abundant number, since it is smaller than the sum of its proper divisors (30816076000).

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

21075764000 is a wasteful number, since it uses less digits than its factorization.

21075764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083 (or 11065 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 21075764000 in words is "twenty-one billion, seventy-five million, seven hundred sixty-four thousand".