13191552000 has 704 divisors, whose sum is σ = 53341217280. Its totient is φ = 3188736000.

The previous prime is 13191551981. The next prime is 13191552001. The reversal of 13191552000 is 25519131.

13191552000 is a `hidden beast` number, since 131 + 9 + 1 + 5 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13191552001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38015827 + ... + 38016173.

Almost surely, 2^13191552000 is an apocalyptic number.

13191552000 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 13191552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26670608640).

13191552000 is an abundant number, since it is smaller than the sum of its proper divisors (40149665280).

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

13191552000 is a wasteful number, since it uses less digits than its factorization.

13191552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 13191552000 in words is "thirteen billion, one hundred ninety-one million, five hundred fifty-two thousand".