21027060756 has 96 divisors (see below), whose sum is σ = 58738377600. Its totient is φ = 6466521600.

The previous prime is 21027060751. The next prime is 21027060757. The reversal of 21027060756 is 65706072012.

21027060756 is a `hidden beast` number, since 21 + 0 + 27 + 0 + 607 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21027060756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21027060751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5404860 + ... + 5408748.

It is an arithmetic number, because the mean of its divisors is an integer number (611858100).

Almost surely, 2^21027060756 is an apocalyptic number.

21027060756 is a gapful number since it is divisible by the number (26) 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 21027060756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29369188800).

21027060756 is an abundant number, since it is smaller than the sum of its proper divisors (37711316844).

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

21027060756 is a wasteful number, since it uses less digits than its factorization.

21027060756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 21027060756 in words is "twenty-one billion, twenty-seven million, sixty thousand, seven hundred fifty-six".