13177520640 has 560 divisors, whose sum is σ = 49591700928. Its totient is φ = 3350274048.

The previous prime is 13177520633. The next prime is 13177520677. The reversal of 13177520640 is 4602577131.

It is a happy number.

13177520640 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 7 + 5 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13177520595 and 13177520604.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42923367 + ... + 42923673.

Almost surely, 2^13177520640 is an apocalyptic number.

13177520640 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 13177520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24795850464).

13177520640 is an abundant number, since it is smaller than the sum of its proper divisors (36414180288).

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

13177520640 is an frugal number, since it uses more digits than its factorization.

13177520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13177520640 in words is "thirteen billion, one hundred seventy-seven million, five hundred twenty thousand, six hundred forty".