21347595360 has 960 divisors, whose sum is σ = 96879670272. Its totient is φ = 4302802944.

The previous prime is 21347595343. The next prime is 21347595427. The reversal of 21347595360 is 6359574312.

21347595360 is a `hidden beast` number, since 2 + 13 + 47 + 595 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27124887 + ... + 27125673.

Almost surely, 2^21347595360 is an apocalyptic number.

21347595360 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 21347595360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48439835136).

21347595360 is an abundant number, since it is smaller than the sum of its proper divisors (75532074912).

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

21347595360 is a wasteful number, since it uses less digits than its factorization.

21347595360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 21347595360 in words is "twenty-one billion, three hundred forty-seven million, five hundred ninety-five thousand, three hundred sixty".