21306625410000 has 600 divisors, whose sum is σ = 80052164607360. Its totient is φ = 4867527168000.

The previous prime is 21306625409989. The next prime is 21306625410013. The reversal of 21306625410000 is 1452660312.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 21306625410000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5478688056 + ... + 5478691944.

Almost surely, 2^{21306625410000} is an apocalyptic number.

21306625410000 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 21306625410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40026082303680).

21306625410000 is an abundant number, since it is smaller than the sum of its proper divisors (58745539197360).

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

21306625410000 is a wasteful number, since it uses less digits than its factorization.

21306625410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7661 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 21306625410000 in words is "twenty-one trillion, three hundred six billion, six hundred twenty-five million, four hundred ten thousand".