11817838501560 has 1280 divisors, whose sum is σ = 51843971773440. Its totient is φ = 2343101644800.

The previous prime is 11817838501549. The next prime is 11817838501589. The reversal of 11817838501560 is 6510583871811.

11817838501560 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 7 + 83 + 8 + 501 + 56 + 0 = 666.

It is a super-2 number, since 2×11817838501560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11817838501497 and 11817838501506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4145154135 + ... + 4145156985.

It is an arithmetic number, because the mean of its divisors is an integer number (40503102948).

Almost surely, 2^{11817838501560} is an apocalyptic number.

11817838501560 is a gapful number since it is divisible by the number (10) 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 11817838501560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25921985886720).

11817838501560 is an abundant number, since it is smaller than the sum of its proper divisors (40026133271880).

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

11817838501560 is a wasteful number, since it uses less digits than its factorization.

11817838501560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 11817838501560 in words is "eleven trillion, eight hundred seventeen billion, eight hundred thirty-eight million, five hundred one thousand, five hundred sixty".