86036502240 has 1728 divisors, whose sum is σ = 378477066240. Its totient is φ = 18274222080.

The previous prime is 86036502239. The next prime is 86036502263. The reversal of 86036502240 is 4220563068.

86036502240 is a `hidden beast` number, since 8 + 603 + 6 + 5 + 0 + 2 + 2 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86036502195 and 86036502204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2775371025 + ... + 2775371055.

It is an arithmetic number, because the mean of its divisors is an integer number (219026080).

Almost surely, 2^86036502240 is an apocalyptic number.

86036502240 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 86036502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189238533120).

86036502240 is an abundant number, since it is smaller than the sum of its proper divisors (292440564000).

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

86036502240 is a wasteful number, since it uses less digits than its factorization.

86036502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 86036502240 in words is "eighty-six billion, thirty-six million, five hundred two thousand, two hundred forty".