21252756085760 has 176 divisors, whose sum is σ = 52645206362112. Its totient is φ = 8223914803200.

The previous prime is 21252756085751. The next prime is 21252756085829. The reversal of 21252756085760 is 6758065725212.

It is a junction number, because it is equal to n+sod(n) for n = 21252756085696 and 21252756085705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470264765 + ... + 470309955.

Almost surely, 2^{21252756085760} is an apocalyptic number.

21252756085760 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 21252756085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26322603181056).

21252756085760 is an abundant number, since it is smaller than the sum of its proper divisors (31392450276352).

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

21252756085760 is a wasteful number, since it uses less digits than its factorization.

21252756085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48210 (or 48192 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 56.

The spelling of 21252756085760 in words is "twenty-one trillion, two hundred fifty-two billion, seven hundred fifty-six million, eighty-five thousand, seven hundred sixty".