21590313210 has 128 divisors (see below), whose sum is σ = 60181954560. Its totient is φ = 5497512768.

The previous prime is 21590313203. The next prime is 21590313307. The reversal of 21590313210 is 1231309512.

21590313210 is a `hidden beast` number, since 2 + 1 + 590 + 31 + 32 + 10 = 666.

It is a super-2 number, since 2×21590313210² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3990327 + ... + 3995733.

It is an arithmetic number, because the mean of its divisors is an integer number (470171520).

Almost surely, 2^21590313210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21590313210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30090977280).

21590313210 is an abundant number, since it is smaller than the sum of its proper divisors (38591641350).

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

21590313210 is a wasteful number, since it uses less digits than its factorization.

21590313210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 21590313210 in words is "twenty-one billion, five hundred ninety million, three hundred thirteen thousand, two hundred ten".