86002498080 has 288 divisors, whose sum is σ = 302281761600. Its totient is φ = 22250059776.

The previous prime is 86002498051. The next prime is 86002498091. The reversal of 86002498080 is 8089420068.

It is a happy number.

86002498080 is a `hidden beast` number, since 86 + 0 + 0 + 2 + 498 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20190991 + ... + 20195249.

It is an arithmetic number, because the mean of its divisors is an integer number (1049589450).

Almost surely, 2^86002498080 is an apocalyptic number.

86002498080 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 86002498080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151140880800).

86002498080 is an abundant number, since it is smaller than the sum of its proper divisors (216279263520).

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

86002498080 is a wasteful number, since it uses less digits than its factorization.

86002498080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 86002498080 in words is "eighty-six billion, two million, four hundred ninety-eight thousand, eighty".