12155719680 has 832 divisors, whose sum is σ = 49539168000. Its totient is φ = 2802843648.

The previous prime is 12155719679. The next prime is 12155719687. The reversal of 12155719680 is 8691755121.

12155719680 is a `hidden beast` number, since 1 + 2 + 1 + 557 + 1 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is not an unprimeable number, because it can be changed into a prime (12155719687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136581076 + ... + 136581164.

Almost surely, 2^12155719680 is an apocalyptic number.

12155719680 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 12155719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24769584000).

12155719680 is an abundant number, since it is smaller than the sum of its proper divisors (37383448320).

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

12155719680 is a wasteful number, since it uses less digits than its factorization.

12155719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 12155719680 in words is "twelve billion, one hundred fifty-five million, seven hundred nineteen thousand, six hundred eighty".