13857669156870 has 1152 divisors, whose sum is σ = 48875263557120. Its totient is φ = 2792196126720.

The previous prime is 13857669156803. The next prime is 13857669156901. The reversal of 13857669156870 is 7865196675831.

13857669156870 is a `hidden beast` number, since 1 + 3 + 8 + 57 + 6 + 6 + 9 + 1 + 568 + 7 + 0 = 666.

It is a super-2 number, since 2×13857669156870² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6178183969 + ... + 6178186211.

It is an arithmetic number, because the mean of its divisors is an integer number (42426444060).

Almost surely, 2^{13857669156870} is an apocalyptic number.

13857669156870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13857669156870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24437631778560).

13857669156870 is an abundant number, since it is smaller than the sum of its proper divisors (35017594400250).

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

13857669156870 is a wasteful number, since it uses less digits than its factorization.

13857669156870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 13857669156870 in words is "thirteen trillion, eight hundred fifty-seven billion, six hundred sixty-nine million, one hundred fifty-six thousand, eight hundred seventy".