13195728000 has 1536 divisors, whose sum is σ = 62553254400. Its totient is φ = 2587852800.

The previous prime is 13195727999. The next prime is 13195728067. The reversal of 13195728000 is 82759131.

13195728000 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 572 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248975974 + ... + 248976026.

It is an arithmetic number, because the mean of its divisors is an integer number (40724775).

Almost surely, 2^13195728000 is an apocalyptic number.

13195728000 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 13195728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31276627200).

13195728000 is an abundant number, since it is smaller than the sum of its proper divisors (49357526400).

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

13195728000 is a wasteful number, since it uses less digits than its factorization.

13195728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 13195728000 in words is "thirteen billion, one hundred ninety-five million, seven hundred twenty-eight thousand".