13190193072 has 240 divisors, whose sum is σ = 44711979520. Its totient is φ = 3545856000.

The previous prime is 13190193061. The next prime is 13190193083. The reversal of 13190193072 is 27039109131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13190193061) and next prime (13190193083).

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 47 ways as a sum of consecutive naturals, for example, 2889672 + ... + 2894232.

Almost surely, 2^13190193072 is an apocalyptic number.

13190193072 is a gapful number since it is divisible by the number (12) 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 13190193072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22355989760).

13190193072 is an abundant number, since it is smaller than the sum of its proper divisors (31521786448).

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

13190193072 is a wasteful number, since it uses less digits than its factorization.

13190193072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 13190193072 in words is "thirteen billion, one hundred ninety million, one hundred ninety-three thousand, seventy-two".