15970395672 has 256 divisors, whose sum is σ = 55935360000. Its totient is φ = 4101166080.

The previous prime is 15970395631. The next prime is 15970395673. The reversal of 15970395672 is 27659307951.

15970395672 is a `hidden beast` number, since 1 + 5 + 9 + 70 + 3 + 9 + 567 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15970395673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1474854 + ... + 1485642.

It is an arithmetic number, because the mean of its divisors is an integer number (218497500).

Almost surely, 2^15970395672 is an apocalyptic number.

15970395672 is a gapful number since it is divisible by the number (12) 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 15970395672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27967680000).

15970395672 is an abundant number, since it is smaller than the sum of its proper divisors (39964964328).

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

15970395672 is a wasteful number, since it uses less digits than its factorization.

15970395672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10911 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 15970395672 in words is "fifteen billion, nine hundred seventy million, three hundred ninety-five thousand, six hundred seventy-two".