2015500071168 has 864 divisors, whose sum is σ = 6413060792320. Its totient is φ = 630460661760.

The previous prime is 2015500071163. The next prime is 2015500071209. The reversal of 2015500071168 is 8611700055102.

2015500071168 is a `hidden beast` number, since 20 + 1 + 5 + 500 + 0 + 71 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2015500071163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14500000443 + ... + 14500000581.

Almost surely, 2^{2015500071168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2015500071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206530396160).

2015500071168 is an abundant number, since it is smaller than the sum of its proper divisors (4397560721152).

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

2015500071168 is a wasteful number, since it uses less digits than its factorization.

2015500071168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 2015500071168 in words is "two trillion, fifteen billion, five hundred million, seventy-one thousand, one hundred sixty-eight".