13172655538350 has 768 divisors, whose sum is σ = 45682576128000. Its totient is φ = 2711397888000.

The previous prime is 13172655538337. The next prime is 13172655538379. The reversal of 13172655538350 is 5383555627131.

13172655538350 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 2 + 6 + 5 + 553 + 83 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7078266420 + ... + 7078268280.

It is an arithmetic number, because the mean of its divisors is an integer number (59482521000).

Almost surely, 2^{13172655538350} is an apocalyptic number.

13172655538350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13172655538350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22841288064000).

13172655538350 is an abundant number, since it is smaller than the sum of its proper divisors (32509920589650).

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

13172655538350 is a wasteful number, since it uses less digits than its factorization.

13172655538350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 13172655538350 in words is "thirteen trillion, one hundred seventy-two billion, six hundred fifty-five million, five hundred thirty-eight thousand, three hundred fifty".