13190881536 has 864 divisors, whose sum is σ = 50331456000. Its totient is φ = 3381460992.

The previous prime is 13190881523. The next prime is 13190881549. The reversal of 13190881536 is 63518809131.

It is a happy number.

13190881536 is a `hidden beast` number, since 1 + 31 + 9 + 0 + 8 + 81 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (13190881523) and next prime (13190881549).

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 13190881491 and 13190881500.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166973145 + ... + 166973223.

It is an arithmetic number, because the mean of its divisors is an integer number (58254000).

Almost surely, 2^13190881536 is an apocalyptic number.

13190881536 is a gapful number since it is divisible by the number (16) 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 13190881536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165728000).

13190881536 is an abundant number, since it is smaller than the sum of its proper divisors (37140574464).

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

13190881536 is a wasteful number, since it uses less digits than its factorization.

13190881536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

It can be divided in two parts, 131908 and 81536, that added together give a square (213444 = 462²).

The spelling of 13190881536 in words is "thirteen billion, one hundred ninety million, eight hundred eighty-one thousand, five hundred thirty-six".