21339107435520 has 792 divisors, whose sum is σ = 88977375185400. Its totient is φ = 4709305810944.

The previous prime is 21339107435497. The next prime is 21339107435557. The reversal of 21339107435520 is 2553470193312.

21339107435520 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 91 + 0 + 7 + 4 + 3 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19537330176 + 21319570105344 = 139776^2 + 4617312^2 .

It is a super-2 number, since 2×21339107435520² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65316736 + ... + 65642624.

Almost surely, 2^{21339107435520} is an apocalyptic number.

21339107435520 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 21339107435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44488687592700).

21339107435520 is an abundant number, since it is smaller than the sum of its proper divisors (67638267749880).

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

21339107435520 is a wasteful number, since it uses less digits than its factorization.

21339107435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325963 (or 325935 counting only the distinct ones).

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

The spelling of 21339107435520 in words is "twenty-one trillion, three hundred thirty-nine billion, one hundred seven million, four hundred thirty-five thousand, five hundred twenty".