13153900677120 has 1920 divisors, whose sum is σ = 57887008058880. Its totient is φ = 2788404756480.

The previous prime is 13153900677109. The next prime is 13153900677157. The reversal of 13153900677120 is 2177600935131.

13153900677120 is a `hidden beast` number, since 1 + 31 + 539 + 0 + 0 + 6 + 77 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7007937622 + ... + 7007939498.

It is an arithmetic number, because the mean of its divisors is an integer number (30149483364).

Almost surely, 2^{13153900677120} is an apocalyptic number.

13153900677120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13153900677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28943504029440).

13153900677120 is an abundant number, since it is smaller than the sum of its proper divisors (44733107381760).

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

13153900677120 is a wasteful number, since it uses less digits than its factorization.

13153900677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 13153900677120 in words is "thirteen trillion, one hundred fifty-three billion, nine hundred million, six hundred seventy-seven thousand, one hundred twenty".