15970806349680 has 480 divisors, whose sum is σ = 64873687532544. Its totient is φ = 3171448111104.

The previous prime is 15970806349651. The next prime is 15970806349691. The reversal of 15970806349680 is 8694360807951.

It is a super-2 number, since 2×15970806349680² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

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, 3172197 + ... + 6481083.

Almost surely, 2^{15970806349680} is an apocalyptic number.

15970806349680 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 15970806349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32436843766272).

15970806349680 is an abundant number, since it is smaller than the sum of its proper divisors (48902881182864).

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

15970806349680 is a wasteful number, since it uses less digits than its factorization.

15970806349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308953 (or 3308934 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 15970806349680 in words is "fifteen trillion, nine hundred seventy billion, eight hundred six million, three hundred forty-nine thousand, six hundred eighty".