2015875632960 has 672 divisors, whose sum is σ = 8337993707520. Its totient is φ = 457131257856.

The previous prime is 2015875632829. The next prime is 2015875632977. The reversal of 2015875632960 is 692365785102.

2015875632960 is a `hidden beast` number, since 2 + 0 + 1 + 58 + 7 + 563 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 2015875632897 and 2015875632906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53747974 + ... + 53785466.

Almost surely, 2^{2015875632960} is an apocalyptic number.

2015875632960 is a gapful number since it is divisible by the number (20) 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 2015875632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168996853760).

2015875632960 is an abundant number, since it is smaller than the sum of its proper divisors (6322118074560).

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

2015875632960 is a wasteful number, since it uses less digits than its factorization.

2015875632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37660 (or 37637 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2015875632960 in words is "two trillion, fifteen billion, eight hundred seventy-five million, six hundred thirty-two thousand, nine hundred sixty".