15983957138688 has 1296 divisors, whose sum is σ = 63995439674880. Its totient is φ = 3907290562560.

The previous prime is 15983957138663. The next prime is 15983957138689. The reversal of 15983957138688 is 88683175938951.

15983957138688 is a `hidden beast` number, since 1 + 5 + 9 + 8 + 3 + 9 + 571 + 38 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×15983957138688² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15983957138689) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 696669745 + ... + 696692687.

It is an arithmetic number, because the mean of its divisors is an integer number (49379197280).

Almost surely, 2^{15983957138688} is an apocalyptic number.

15983957138688 is a gapful number since it is divisible by the number (18) 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 15983957138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31997719837440).

15983957138688 is an abundant number, since it is smaller than the sum of its proper divisors (48011482536192).

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

15983957138688 is a wasteful number, since it uses less digits than its factorization.

15983957138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23021 (or 22983 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 81.

The spelling of 15983957138688 in words is "fifteen trillion, nine hundred eighty-three billion, nine hundred fifty-seven million, one hundred thirty-eight thousand, six hundred eighty-eight".