12491795160 has 512 divisors, whose sum is σ = 47900160000. Its totient is φ = 2868535296.

The previous prime is 12491795117. The next prime is 12491795189. The reversal of 12491795160 is 6159719421.

12491795160 is a `hidden beast` number, since 12 + 491 + 7 + 95 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47497189 + ... + 47497451.

It is an arithmetic number, because the mean of its divisors is an integer number (93555000).

Almost surely, 2^12491795160 is an apocalyptic number.

12491795160 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 12491795160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080000).

12491795160 is an abundant number, since it is smaller than the sum of its proper divisors (35408364840).

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

12491795160 is a wasteful number, since it uses less digits than its factorization.

12491795160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 12491795160 in words is "twelve billion, four hundred ninety-one million, seven hundred ninety-five thousand, one hundred sixty".