86985239040 has 800 divisors, whose sum is σ = 363624940800. Its totient is φ = 19866083328.

The previous prime is 86985238997. The next prime is 86985239051. The reversal of 86985239040 is 4093258968.

86985239040 is a `hidden beast` number, since 86 + 98 + 52 + 390 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71123869 + ... + 71125091.

It is an arithmetic number, because the mean of its divisors is an integer number (454531176).

Almost surely, 2^86985239040 is an apocalyptic number.

86985239040 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 86985239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181812470400).

86985239040 is an abundant number, since it is smaller than the sum of its proper divisors (276639701760).

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

86985239040 is an equidigital number, since it uses as much as digits as its factorization.

86985239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 86985239040 in words is "eighty-six billion, nine hundred eighty-five million, two hundred thirty-nine thousand, forty".