11157495959376 has 960 divisors, whose sum is σ = 39148970305536. Its totient is φ = 3042120499200.

The previous prime is 11157495959353. The next prime is 11157495959383. The reversal of 11157495959376 is 67395959475111.

11157495959376 is a `hidden beast` number, since 1 + 1 + 1 + 57 + 495 + 9 + 59 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 985551796 + ... + 985563116.

Almost surely, 2^{11157495959376} is an apocalyptic number.

11157495959376 is a gapful number since it is divisible by the number (16) 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 11157495959376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19574485152768).

11157495959376 is an abundant number, since it is smaller than the sum of its proper divisors (27991474346160).

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

11157495959376 is a wasteful number, since it uses less digits than its factorization.

11157495959376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11442 (or 11424 counting only the distinct ones).

The product of its digits is 321489000, while the sum is 72.

The spelling of 11157495959376 in words is "eleven trillion, one hundred fifty-seven billion, four hundred ninety-five million, nine hundred fifty-nine thousand, three hundred seventy-six".