11757334680 has 320 divisors, whose sum is σ = 48638399040. Its totient is φ = 2480606208.

The previous prime is 11757334663. The next prime is 11757334703. The reversal of 11757334680 is 8643375711.

11757334680 is a `hidden beast` number, since 1 + 17 + 573 + 3 + 4 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 274902 + ... + 314778.

It is an arithmetic number, because the mean of its divisors is an integer number (151994997).

Almost surely, 2^11757334680 is an apocalyptic number.

11757334680 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 11757334680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24319199520).

11757334680 is an abundant number, since it is smaller than the sum of its proper divisors (36881064360).

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

11757334680 is a wasteful number, since it uses less digits than its factorization.

11757334680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39920 (or 39907 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 11757334680 in words is "eleven billion, seven hundred fifty-seven million, three hundred thirty-four thousand, six hundred eighty".