10905557940 has 36 divisors (see below), whose sum is σ = 33080192964. Its totient is φ = 2908148736.

The previous prime is 10905557917. The next prime is 10905557989. The reversal of 10905557940 is 4975550901.

10905557940 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 5 + 557 + 94 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7217182116 + 3688375824 = 84954^2 + 60732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30293037 + ... + 30293396.

It is an arithmetic number, because the mean of its divisors is an integer number (918894249).

Almost surely, 2^10905557940 is an apocalyptic number.

10905557940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10905557940 is an abundant number, since it is smaller than the sum of its proper divisors (22174635024).

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

10905557940 is a wasteful number, since it uses less digits than its factorization.

10905557940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60586448 (or 60586443 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 10905557940 in words is "ten billion, nine hundred five million, five hundred fifty-seven thousand, nine hundred forty".