11457076700160 has 2640 divisors, whose sum is σ = 53129455948800. Its totient is φ = 2337667153920.

The previous prime is 11457076700143. The next prime is 11457076700161. The reversal of 11457076700160 is 6100767075411.

It is a happy number.

11457076700160 is a `hidden beast` number, since 1 + 1 + 4 + 570 + 7 + 6 + 70 + 0 + 1 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11457076700161) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8189475141 + ... + 8189476539.

It is an arithmetic number, because the mean of its divisors is an integer number (20124793920).

Almost surely, 2^{11457076700160} is an apocalyptic number.

11457076700160 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 11457076700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26564727974400).

11457076700160 is an abundant number, since it is smaller than the sum of its proper divisors (41672379248640).

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

11457076700160 is a wasteful number, since it uses less digits than its factorization.

11457076700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 11457076700160 in words is "eleven trillion, four hundred fifty-seven billion, seventy-six million, seven hundred thousand, one hundred sixty".