12619201351680 has 1664 divisors, whose sum is σ = 56638838476800. Its totient is φ = 2621455073280.

The previous prime is 12619201351663. The next prime is 12619201351699. The reversal of 12619201351680 is 8615310291621.

It is a happy number.

12619201351680 is a `hidden beast` number, since 1 + 2 + 6 + 19 + 201 + 351 + 6 + 80 = 666.

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

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, 3448809691 + ... + 3448813349.

Almost surely, 2^{12619201351680} is an apocalyptic number.

12619201351680 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 12619201351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28319419238400).

12619201351680 is an abundant number, since it is smaller than the sum of its proper divisors (44019637125120).

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

12619201351680 is an frugal number, since it uses more digits than its factorization.

12619201351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12619201351680 in words is "twelve trillion, six hundred nineteen billion, two hundred one million, three hundred fifty-one thousand, six hundred eighty".