1076164113375 has 256 divisors, whose sum is σ = 2275693056000. Its totient is φ = 497126246400.

The previous prime is 1076164113373. The next prime is 1076164113389. The reversal of 1076164113375 is 5733114616701.

1076164113375 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 164 + 113 + 375 = 666.

It is not a de Polignac number, because 1076164113375 - 2¹ = 1076164113373 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1076164113375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076164113373) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 267767116 + ... + 267771134.

It is an arithmetic number, because the mean of its divisors is an integer number (8889426000).

Almost surely, 2^{1076164113375} is an apocalyptic number.

1076164113375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1076164113375 is an abundant number, since it is smaller than the sum of its proper divisors (1199528942625).

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

1076164113375 is a wasteful number, since it uses less digits than its factorization.

1076164113375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1076164113375 in words is "one trillion, seventy-six billion, one hundred sixty-four million, one hundred thirteen thousand, three hundred seventy-five".