13580191872 has 384 divisors, whose sum is σ = 45681919920. Its totient is φ = 3833856000.

The previous prime is 13580191861. The next prime is 13580191883. The reversal of 13580191872 is 27819108531.

It is an interprime number because it is at equal distance from previous prime (13580191861) and next prime (13580191883).

It can be written as a sum of positive squares in 8 ways, for example, as 92621376 + 13487570496 = 9624^2 + 116136^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13580191872² (a number of 21 digits) contains 22 as substring.

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, 10437622 + ... + 10438922.

Almost surely, 2^13580191872 is an apocalyptic number.

13580191872 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 13580191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840959960).

13580191872 is an abundant number, since it is smaller than the sum of its proper divisors (32101728048).

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

13580191872 is a wasteful number, since it uses less digits than its factorization.

13580191872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 13580191872 in words is "thirteen billion, five hundred eighty million, one hundred ninety-one thousand, eight hundred seventy-two".