86263626240 has 800 divisors, whose sum is σ = 343304723520. Its totient is φ = 20525875200.

The previous prime is 86263626233. The next prime is 86263626247. The reversal of 86263626240 is 4262636268.

86263626240 is a `hidden beast` number, since 8 + 6 + 2 + 636 + 2 + 6 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86263626233) and next prime (86263626247).

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

It is not an unprimeable number, because it can be changed into a prime (86263626247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134576320 + ... + 134576960.

Almost surely, 2^86263626240 is an apocalyptic number.

86263626240 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 86263626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171652361760).

86263626240 is an abundant number, since it is smaller than the sum of its proper divisors (257041097280).

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

86263626240 is a wasteful number, since it uses less digits than its factorization.

86263626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 86263626240 in words is "eighty-six billion, two hundred sixty-three million, six hundred twenty-six thousand, two hundred forty".