87631261888 has 56 divisors (see below), whose sum is σ = 176287633200. Its totient is φ = 43214131200.

The previous prime is 87631261873. The next prime is 87631261903. The reversal of 87631261888 is 88816213678.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87631261873) and next prime (87631261903).

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 7 ways as a sum of consecutive naturals, for example, 3178788 + ... + 3206236.

It is an arithmetic number, because the mean of its divisors is an integer number (3147993450).

Almost surely, 2^87631261888 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 87631261888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88143816600).

87631261888 is an abundant number, since it is smaller than the sum of its proper divisors (88656371312).

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

87631261888 is a wasteful number, since it uses less digits than its factorization.

87631261888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28145 (or 28135 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 58.

The spelling of 87631261888 in words is "eighty-seven billion, six hundred thirty-one million, two hundred sixty-one thousand, eight hundred eighty-eight".