11431257216210 has 48 divisors (see below), whose sum is σ = 32007520208664. Its totient is φ = 2813847929856.

The previous prime is 11431257216163. The next prime is 11431257216233. The reversal of 11431257216210 is 1261275213411.

11431257216210 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 2 + 5 + 7 + 21 + 621 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5358812937921 + 6072444278289 = 2314911^2 + 2464233^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4885151487 + ... + 4885153826.

Almost surely, 2^{11431257216210} is an apocalyptic number.

11431257216210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11431257216210 is an abundant number, since it is smaller than the sum of its proper divisors (20576262992454).

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

11431257216210 is a wasteful number, since it uses less digits than its factorization.

11431257216210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9770305339 (or 9770305336 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11431257216210 in words is "eleven trillion, four hundred thirty-one billion, two hundred fifty-seven million, two hundred sixteen thousand, two hundred ten".