11640675375 has 128 divisors (see below), whose sum is σ = 25892505600. Its totient is φ = 5041180800.

The previous prime is 11640675373. The next prime is 11640675407. The reversal of 11640675375 is 57357604611.

11640675375 is a `hidden beast` number, since 1 + 16 + 40 + 67 + 537 + 5 = 666.

It is not a de Polignac number, because 11640675375 - 2¹ = 11640675373 is a prime.

It is a super-2 number, since 2×11640675375² (a number of 21 digits) contains 22 as substring.

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 11640675375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640675373) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 435909 + ... + 461841.

It is an arithmetic number, because the mean of its divisors is an integer number (202285200).

Almost surely, 2^11640675375 is an apocalyptic number.

11640675375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11640675375 is an abundant number, since it is smaller than the sum of its proper divisors (14251830225).

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

11640675375 is a wasteful number, since it uses less digits than its factorization.

11640675375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25983 (or 25967 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 11640675375 in words is "eleven billion, six hundred forty million, six hundred seventy-five thousand, three hundred seventy-five".