13575749940 has 72 divisors (see below), whose sum is σ = 41544259848. Its totient is φ = 3588157440.

The previous prime is 13575749933. The next prime is 13575749969. The reversal of 13575749940 is 4994757531.

13575749940 is a `hidden beast` number, since 13 + 57 + 57 + 499 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589324176 + 12986425764 = 24276^2 + 113958^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313381 + ... + 354060.

It is an arithmetic number, because the mean of its divisors is an integer number (577003609).

Almost surely, 2^13575749940 is an apocalyptic number.

13575749940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13575749940 is an abundant number, since it is smaller than the sum of its proper divisors (27968509908).

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

13575749940 is a wasteful number, since it uses less digits than its factorization.

13575749940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667569 (or 667564 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 13575749940 in words is "thirteen billion, five hundred seventy-five million, seven hundred forty-nine thousand, nine hundred forty".