13854879935280 has 120 divisors (see below), whose sum is σ = 48978215959920. Its totient is φ = 3500180190720.

The previous prime is 13854879935233. The next prime is 13854879935293. The reversal of 13854879935280 is 8253997845831.

13854879935280 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 4 + 8 + 7 + 9 + 93 + 528 + 0 = 666.

13854879935280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 13854879935199 and 13854879935208.

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, 506378131 + ... + 506405490.

It is an arithmetic number, because the mean of its divisors is an integer number (408151799666).

Almost surely, 2^{13854879935280} is an apocalyptic number.

13854879935280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13854879935280 is an abundant number, since it is smaller than the sum of its proper divisors (35123336024640).

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

13854879935280 is a wasteful number, since it uses less digits than its factorization.

13854879935280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012783659 (or 1012783650 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 13854879935280 in words is "thirteen trillion, eight hundred fifty-four billion, eight hundred seventy-nine million, nine hundred thirty-five thousand, two hundred eighty".