13753942560 has 120 divisors (see below), whose sum is σ = 48540001356. Its totient is φ = 3667714560.

The previous prime is 13753942459. The next prime is 13753942583. The reversal of 13753942560 is 6524935731.

13753942560 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 394 + 256 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12526981776 + 1226960784 = 111924^2 + 35028^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 517671 + ... + 543590.

Almost surely, 2^13753942560 is an apocalyptic number.

13753942560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13753942560 is an abundant number, since it is smaller than the sum of its proper divisors (34786058796).

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

13753942560 is a wasteful number, since it uses less digits than its factorization.

13753942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061288 (or 1061271 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13753942560 in words is "thirteen billion, seven hundred fifty-three million, nine hundred forty-two thousand, five hundred sixty".