87899406336 has 768 divisors, whose sum is σ = 320607705600. Its totient is φ = 23505666048.

The previous prime is 87899406323. The next prime is 87899406341. The reversal of 87899406336 is 63360499878.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059028951 + ... + 1059029033.

It is an arithmetic number, because the mean of its divisors is an integer number (417457950).

Almost surely, 2^87899406336 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 87899406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160303852800).

87899406336 is an abundant number, since it is smaller than the sum of its proper divisors (232708299264).

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

87899406336 is an frugal number, since it uses more digits than its factorization.

87899406336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 87899406336 in words is "eighty-seven billion, eight hundred ninety-nine million, four hundred six thousand, three hundred thirty-six".