21365426160 has 480 divisors, whose sum is σ = 80580199680. Its totient is φ = 5200505856.

The previous prime is 21365426149. The next prime is 21365426171. The reversal of 21365426160 is 6162456312.

21365426160 is a `hidden beast` number, since 2 + 1 + 36 + 5 + 4 + 2 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21365426149) and next prime (21365426171).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39059007 + ... + 39059553.

It is an arithmetic number, because the mean of its divisors is an integer number (167875416).

Almost surely, 2^21365426160 is an apocalyptic number.

21365426160 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 21365426160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40290099840).

21365426160 is an abundant number, since it is smaller than the sum of its proper divisors (59214773520).

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

21365426160 is a wasteful number, since it uses less digits than its factorization.

21365426160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21365426160 in words is "twenty-one billion, three hundred sixty-five million, four hundred twenty-six thousand, one hundred sixty".