15960142800 has 630 divisors, whose sum is σ = 66936069798. Its totient is φ = 3644766720.

The previous prime is 15960142799. The next prime is 15960142801. The reversal of 15960142800 is 824106951.

15960142800 is a `hidden beast` number, since 1 + 5 + 9 + 601 + 42 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15960142799) and next prime (15960142801).

It can be written as a sum of positive squares in 3 ways, for example, as 20575296 + 15939567504 = 4536^2 + 126252^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15960142801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 14287842 + ... + 14288958.

Almost surely, 2^15960142800 is an apocalyptic number.

15960142800 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 15960142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33468034899).

15960142800 is an abundant number, since it is smaller than the sum of its proper divisors (50975926998).

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

15960142800 is a wasteful number, since it uses less digits than its factorization.

15960142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 15960142800 in words is "fifteen billion, nine hundred sixty million, one hundred forty-two thousand, eight hundred".