15960162628800 has 1512 divisors, whose sum is σ = 64087563352176. Its totient is φ = 3888378224640.

The previous prime is 15960162628783. The next prime is 15960162628819. The reversal of 15960162628800 is 882626106951.

15960162628800 is a `hidden beast` number, since 1 + 5 + 9 + 6 + 0 + 1 + 6 + 2 + 628 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×15960162628800² (a number of 27 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 14602161054 + ... + 14602162146.

It is an arithmetic number, because the mean of its divisors is an integer number (42385954598).

Almost surely, 2^{15960162628800} is an apocalyptic number.

15960162628800 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 15960162628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32043781676088).

15960162628800 is an abundant number, since it is smaller than the sum of its proper divisors (48127400723376).

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

15960162628800 is a wasteful number, since it uses less digits than its factorization.

15960162628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 15960162628800 in words is "fifteen trillion, nine hundred sixty billion, one hundred sixty-two million, six hundred twenty-eight thousand, eight hundred".