11757150993060 has 864 divisors, whose sum is σ = 42124402704384. Its totient is φ = 2730425760000.

The previous prime is 11757150992987. The next prime is 11757150993073. The reversal of 11757150993060 is 6039905175711.

11757150993060 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 71 + 509 + 9 + 3 + 0 + 60 = 666.

It is a super-2 number, since 2×11757150993060² (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 = 11757150992988 and 11757150993006.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4608838785 + ... + 4608841335.

Almost surely, 2^{11757150993060} is an apocalyptic number.

11757150993060 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 11757150993060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062201352192).

11757150993060 is an abundant number, since it is smaller than the sum of its proper divisors (30367251711324).

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

11757150993060 is a wasteful number, since it uses less digits than its factorization.

11757150993060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 54.

The spelling of 11757150993060 in words is "eleven trillion, seven hundred fifty-seven billion, one hundred fifty million, nine hundred ninety-three thousand, sixty".