13755079927953 has 192 divisors, whose sum is σ = 26030898915840. Its totient is φ = 7113369715200.

The previous prime is 13755079927903. The next prime is 13755079927957. The reversal of 13755079927953 is 35972997055731.

13755079927953 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 507 + 9 + 9 + 27 + 95 + 3 = 666.

It is not a de Polignac number, because 13755079927953 - 2⁶ = 13755079927889 is a prime.

It is a super-5 number, since 5×13755079927953⁵ (a number of 67 digits) contains 55555 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13755079927957) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326261151 + ... + 326303307.

It is an arithmetic number, because the mean of its divisors is an integer number (135577598520).

Almost surely, 2^{13755079927953} is an apocalyptic number.

13755079927953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13755079927953 is a deficient number, since it is larger than the sum of its proper divisors (12275818987887).

13755079927953 is a wasteful number, since it uses less digits than its factorization.

13755079927953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42565 (or 42552 counting only the distinct ones).

The product of its (nonzero) digits is 562605750, while the sum is 72.

The spelling of 13755079927953 in words is "thirteen trillion, seven hundred fifty-five billion, seventy-nine million, nine hundred twenty-seven thousand, nine hundred fifty-three".