15981114949800 has 768 divisors, whose sum is σ = 66816043499520. Its totient is φ = 3051537408000.

The previous prime is 15981114949699. The next prime is 15981114949823. The reversal of 15981114949800 is 894941118951.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 133874140 + ... + 133993460.

It is an arithmetic number, because the mean of its divisors is an integer number (87000056640).

Almost surely, 2^{15981114949800} is an apocalyptic number.

15981114949800 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 15981114949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33408021749760).

15981114949800 is an abundant number, since it is smaller than the sum of its proper divisors (50834928549720).

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

15981114949800 is a wasteful number, since it uses less digits than its factorization.

15981114949800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119594 (or 119585 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 60.

The spelling of 15981114949800 in words is "fifteen trillion, nine hundred eighty-one billion, one hundred fourteen million, nine hundred forty-nine thousand, eight hundred".