12597981679080 has 2048 divisors, whose sum is σ = 52899840000000. Its totient is φ = 2657669833728.

The previous prime is 12597981679051. The next prime is 12597981679147. The reversal of 12597981679080 is 8097618979521.

It is a happy number.

12597981679080 is a `hidden beast` number, since 12 + 597 + 9 + 8 + 16 + 7 + 9 + 0 + 8 + 0 = 666.

12597981679080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12597981679080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 77288231079 + ... + 77288231241.

It is an arithmetic number, because the mean of its divisors is an integer number (25830000000).

Almost surely, 2^{12597981679080} is an apocalyptic number.

12597981679080 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 12597981679080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26449920000000).

12597981679080 is an abundant number, since it is smaller than the sum of its proper divisors (40301858320920).

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

12597981679080 is a wasteful number, since it uses less digits than its factorization.

12597981679080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 72.

The spelling of 12597981679080 in words is "twelve trillion, five hundred ninety-seven billion, nine hundred eighty-one million, six hundred seventy-nine thousand, eighty".