15970348800 has 864 divisors, whose sum is σ = 68169525760. Its totient is φ = 3627970560.

The previous prime is 15970348789. The next prime is 15970348837. The reversal of 15970348800 is 884307951.

15970348800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×15970348800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97977519 + ... + 97977681.

Almost surely, 2^15970348800 is an apocalyptic number.

15970348800 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 15970348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34084762880).

15970348800 is an abundant number, since it is smaller than the sum of its proper divisors (52199176960).

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

15970348800 is an frugal number, since it uses more digits than its factorization.

15970348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 15970348800 in words is "fifteen billion, nine hundred seventy million, three hundred forty-eight thousand, eight hundred".