15981284400 has 120 divisors (see below), whose sum is σ = 51284326224. Its totient is φ = 4254105600.

The previous prime is 15981284383. The next prime is 15981284413. The reversal of 15981284400 is 448218951.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680860 + ... + 703940.

Almost surely, 2^15981284400 is an apocalyptic number.

15981284400 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 15981284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25642163112).

15981284400 is an abundant number, since it is smaller than the sum of its proper divisors (35303041824).

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

15981284400 is a wasteful number, since it uses less digits than its factorization.

15981284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23679 (or 23668 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 15981284400 in words is "fifteen billion, nine hundred eighty-one million, two hundred eighty-four thousand, four hundred".