15974481920 has 120 divisors (see below), whose sum is σ = 38710933800. Its totient is φ = 6327631872.

The previous prime is 15974481899. The next prime is 15974481923. The reversal of 15974481920 is 2918447951.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6585647104 + 9388834816 = 81152^2 + 96896^2 .

It is a super-4 number, since 4×15974481920⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15974481923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8928386 + ... + 8930174.

It is an arithmetic number, because the mean of its divisors is an integer number (322591115).

Almost surely, 2^15974481920 is an apocalyptic number.

15974481920 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 15974481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355466900).

15974481920 is an abundant number, since it is smaller than the sum of its proper divisors (22736451880).

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

15974481920 is an equidigital number, since it uses as much as digits as its factorization.

15974481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 15974481920 in words is "fifteen billion, nine hundred seventy-four million, four hundred eighty-one thousand, nine hundred twenty".