13190628576 has 96 divisors (see below), whose sum is σ = 36690651648. Its totient is φ = 4135024640.

The previous prime is 13190628553. The next prime is 13190628589. The reversal of 13190628576 is 67582609131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2953321 + ... + 2957783.

It is an arithmetic number, because the mean of its divisors is an integer number (382194288).

Almost surely, 2^13190628576 is an apocalyptic number.

13190628576 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 13190628576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345325824).

13190628576 is an abundant number, since it is smaller than the sum of its proper divisors (23500023072).

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

13190628576 is a wasteful number, since it uses less digits than its factorization.

13190628576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 13190628576 in words is "thirteen billion, one hundred ninety million, six hundred twenty-eight thousand, five hundred seventy-six".