2015641791288 has 192 divisors, whose sum is σ = 5540649660000. Its totient is φ = 661920989184.

The previous prime is 2015641791287. The next prime is 2015641791301. The reversal of 2015641791288 is 8821971465102.

2015641791288 is a `hidden beast` number, since 2 + 0 + 1 + 564 + 1 + 79 + 1 + 2 + 8 + 8 = 666.

It is a Cunningham number, because it is equal to 1419733²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2015641791287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076155920 + ... + 1076157792.

Almost surely, 2^{2015641791288} 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 2015641791288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770324830000).

2015641791288 is an abundant number, since it is smaller than the sum of its proper divisors (3525007868712).

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

2015641791288 is a wasteful number, since it uses less digits than its factorization.

2015641791288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 2015641791288 in words is "two trillion, fifteen billion, six hundred forty-one million, seven hundred ninety-one thousand, two hundred eighty-eight".