87999817311744 has 480 divisors, whose sum is σ = 256121968823424. Its totient is φ = 26835918520320.

The previous prime is 87999817311737. The next prime is 87999817311751. The reversal of 87999817311744 is 44711371899978.

It is an interprime number because it is at equal distance from previous prime (87999817311737) and next prime (87999817311751).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 87999817311744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43629060624 + ... + 43629062640.

Almost surely, 2^{87999817311744} 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 87999817311744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128060984411712).

87999817311744 is an abundant number, since it is smaller than the sum of its proper divisors (168122151511680).

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

87999817311744 is a wasteful number, since it uses less digits than its factorization.

87999817311744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3449 counting only the distinct ones).

The product of its digits is 768144384, while the sum is 78.

The spelling of 87999817311744 in words is "eighty-seven trillion, nine hundred ninety-nine billion, eight hundred seventeen million, three hundred eleven thousand, seven hundred forty-four".