87088335710000 has 100 divisors (see below), whose sum is σ = 210942387322392. Its totient is φ = 34819999488000.

The previous prime is 87088335709997. The next prime is 87088335710063. The reversal of 87088335710000 is 1753388078.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×87088335710000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20814287 + ... + 24645713.

Almost surely, 2^{87088335710000} is an apocalyptic number.

87088335710000 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 87088335710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105471193661196).

87088335710000 is an abundant number, since it is smaller than the sum of its proper divisors (123854051612392).

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

87088335710000 is a wasteful number, since it uses less digits than its factorization.

87088335710000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833728 (or 3833707 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 87088335710000 in words is "eighty-seven trillion, eighty-eight billion, three hundred thirty-five million, seven hundred ten thousand".