21259715400 has 576 divisors, whose sum is σ = 89673367680. Its totient is φ = 4384972800.

The previous prime is 21259715387. The next prime is 21259715431. The reversal of 21259715400 is 451795212.

21259715400 is a `hidden beast` number, since 2 + 1 + 25 + 97 + 1 + 540 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21759712 + ... + 21760688.

It is an arithmetic number, because the mean of its divisors is an integer number (155682930).

Almost surely, 2^21259715400 is an apocalyptic number.

21259715400 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 21259715400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44836683840).

21259715400 is an abundant number, since it is smaller than the sum of its proper divisors (68413652280).

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

21259715400 is a wasteful number, since it uses less digits than its factorization.

21259715400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 21259715400 in words is "twenty-one billion, two hundred fifty-nine million, seven hundred fifteen thousand, four hundred".