13272795900 has 432 divisors, whose sum is σ = 54221154624. Its totient is φ = 2635407360.

The previous prime is 13272795829. The next prime is 13272795947. The reversal of 13272795900 is 959727231.

13272795900 is a `hidden beast` number, since 1 + 32 + 7 + 27 + 9 + 590 + 0 = 666.

It is a super-2 number, since 2×13272795900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1387534 + ... + 1397066.

It is an arithmetic number, because the mean of its divisors is an integer number (125511932).

Almost surely, 2^13272795900 is an apocalyptic number.

13272795900 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 13272795900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27110577312).

13272795900 is an abundant number, since it is smaller than the sum of its proper divisors (40948358724).

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

13272795900 is a wasteful number, since it uses less digits than its factorization.

13272795900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590 (or 9580 counting only the distinct ones).

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

The spelling of 13272795900 in words is "thirteen billion, two hundred seventy-two million, seven hundred ninety-five thousand, nine hundred".