86890512240 has 480 divisors, whose sum is σ = 360171144000. Its totient is φ = 19175159808.

The previous prime is 86890512209. The next prime is 86890512287. The reversal of 86890512240 is 4221509868.

86890512240 is a `hidden beast` number, since 8 + 6 + 8 + 90 + 512 + 2 + 40 = 666.

It is a super-2 number, since 2×86890512240² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3055206 + ... + 3083514.

It is an arithmetic number, because the mean of its divisors is an integer number (750356550).

Almost surely, 2^86890512240 is an apocalyptic number.

86890512240 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 86890512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180085572000).

86890512240 is an abundant number, since it is smaller than the sum of its proper divisors (273280631760).

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

86890512240 is a wasteful number, since it uses less digits than its factorization.

86890512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28374 (or 28355 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 86890512240 in words is "eighty-six billion, eight hundred ninety million, five hundred twelve thousand, two hundred forty".