11815157340 has 360 divisors, whose sum is σ = 43360721712. Its totient is φ = 2685312000.

The previous prime is 11815157327. The next prime is 11815157363. The reversal of 11815157340 is 4375151811.

It is a happy number.

11815157340 is a `hidden beast` number, since 1 + 1 + 81 + 5 + 1 + 573 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11815157295 and 11815157304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19924084 + ... + 19924676.

Almost surely, 2^11815157340 is an apocalyptic number.

11815157340 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 11815157340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21680360856).

11815157340 is an abundant number, since it is smaller than the sum of its proper divisors (31545564372).

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

11815157340 is a wasteful number, since it uses less digits than its factorization.

11815157340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 11815157340 in words is "eleven billion, eight hundred fifteen million, one hundred fifty-seven thousand, three hundred forty".