87932120460288 has 704 divisors, whose sum is σ = 269309678604288. Its totient is φ = 25311270666240.

The previous prime is 87932120460277. The next prime is 87932120460293. The reversal of 87932120460288 is 88206402123978.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7191628831 + ... + 7191641057.

Almost surely, 2^{87932120460288} 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 87932120460288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134654839302144).

87932120460288 is an abundant number, since it is smaller than the sum of its proper divisors (181377558144000).

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

87932120460288 is a wasteful number, since it uses less digits than its factorization.

87932120460288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12488 (or 12470 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 87932120460288 in words is "eighty-seven trillion, nine hundred thirty-two billion, one hundred twenty million, four hundred sixty thousand, two hundred eighty-eight".