15998656101120 has 2304 divisors, whose sum is σ = 71989876224000. Its totient is φ = 3268285562880.

The previous prime is 15998656101107. The next prime is 15998656101137. The reversal of 15998656101120 is 2110165689951.

It is a happy number.

15998656101120 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 8 + 6 + 5 + 610 + 1 + 12 + 0 = 666.

15998656101120 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 (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62251580032 + ... + 62251580288.

It is an arithmetic number, because the mean of its divisors is an integer number (31245606000).

Almost surely, 2^{15998656101120} is an apocalyptic number.

15998656101120 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 15998656101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35994938112000).

15998656101120 is an abundant number, since it is smaller than the sum of its proper divisors (55991220122880).

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

15998656101120 is a wasteful number, since it uses less digits than its factorization.

15998656101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 15998656101120 in words is "fifteen trillion, nine hundred ninety-eight billion, six hundred fifty-six million, one hundred one thousand, one hundred twenty".