12749140080 has 480 divisors, whose sum is σ = 45961344000. Its totient is φ = 3161733120.

The previous prime is 12749140069. The next prime is 12749140099. The reversal of 12749140080 is 8004194721.

12749140080 is a `hidden beast` number, since 127 + 491 + 40 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 97321615 + ... + 97321745.

It is an arithmetic number, because the mean of its divisors is an integer number (95752800).

Almost surely, 2^12749140080 is an apocalyptic number.

12749140080 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 12749140080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672000).

12749140080 is an abundant number, since it is smaller than the sum of its proper divisors (33212203920).

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

12749140080 is a wasteful number, since it uses less digits than its factorization.

12749140080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12749140080 in words is "twelve billion, seven hundred forty-nine million, one hundred forty thousand, eighty".