13045687999920 has 240 divisors, whose sum is σ = 47642688306720. Its totient is φ = 3185719566336.

The previous prime is 13045687999907. The next prime is 13045687999951. The reversal of 13045687999920 is 2999978654031.

13045687999920 is a `hidden beast` number, since 1 + 3 + 0 + 456 + 87 + 9 + 9 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13950150 + ... + 14855909.

It is an arithmetic number, because the mean of its divisors is an integer number (198511201278).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13045687999920 = 26091375999840, but 3⋅13045687999920 = 39137063999760 is not.

Almost surely, 2^{13045687999920} is an apocalyptic number.

13045687999920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13045687999920 is an abundant number, since it is smaller than the sum of its proper divisors (34597000306800).

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

13045687999920 is a wasteful number, since it uses less digits than its factorization.

13045687999920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28806132 (or 28806123 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 13045687999920 in words is "thirteen trillion, forty-five billion, six hundred eighty-seven million, nine hundred ninety-nine thousand, nine hundred twenty".