87638389760 has 132 divisors (see below), whose sum is σ = 217739398188. Its totient is φ = 33844887552.

The previous prime is 87638389721. The next prime is 87638389771. The reversal of 87638389760 is 6798383678.

It can be written as a sum of positive squares in 6 ways, for example, as 1080042496 + 86558347264 = 32864^2 + 294208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4295744 + ... + 4316096.

Almost surely, 2^87638389760 is an apocalyptic number.

87638389760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87638389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108869699094).

87638389760 is an abundant number, since it is smaller than the sum of its proper divisors (130101008428).

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

87638389760 is a wasteful number, since it uses less digits than its factorization.

87638389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20436 (or 20389 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 65.

The spelling of 87638389760 in words is "eighty-seven billion, six hundred thirty-eight million, three hundred eighty-nine thousand, seven hundred sixty".