13177920000 has 800 divisors, whose sum is σ = 52463106432. Its totient is φ = 2875392000.

The previous prime is 13177919987. The next prime is 13177920001. The reversal of 13177920000 is 2977131.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 13177920000.

It is not an unprimeable number, because it can be changed into a prime (13177920001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 248639974 + ... + 248640026.

Almost surely, 2^13177920000 is an apocalyptic number.

13177920000 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 13177920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26231553216).

13177920000 is an abundant number, since it is smaller than the sum of its proper divisors (39285186432).

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

13177920000 is an frugal number, since it uses more digits than its factorization.

13177920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The spelling of 13177920000 in words is "thirteen billion, one hundred seventy-seven million, nine hundred twenty thousand".