11101607640 has 48 divisors (see below), whose sum is σ = 36080226000. Its totient is φ = 2960428608.

The previous prime is 11101607557. The next prime is 11101607651. The reversal of 11101607640 is 4670610111.

11101607640 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 16 + 0 + 7 + 640 = 666.

11101607640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15418540 + ... + 15419259.

It is an arithmetic number, because the mean of its divisors is an integer number (751671375).

Almost surely, 2^11101607640 is an apocalyptic number.

11101607640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101607640 is an abundant number, since it is smaller than the sum of its proper divisors (24978618360).

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

11101607640 is a wasteful number, since it uses less digits than its factorization.

11101607640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30837816 (or 30837809 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11101607640 in words is "eleven billion, one hundred one million, six hundred seven thousand, six hundred forty".