86825902320 has 240 divisors, whose sum is σ = 302688876672. Its totient is φ = 23130696960.

The previous prime is 86825902307. The next prime is 86825902351. The reversal of 86825902320 is 2320952868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 30538819 + ... + 30541661.

Almost surely, 2^86825902320 is an apocalyptic number.

86825902320 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 86825902320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151344438336).

86825902320 is an abundant number, since it is smaller than the sum of its proper divisors (215862974352).

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

86825902320 is a wasteful number, since it uses less digits than its factorization.

86825902320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 86825902320 in words is "eighty-six billion, eight hundred twenty-five million, nine hundred two thousand, three hundred twenty".