86425807680 has 1568 divisors, whose sum is σ = 364595420160. Its totient is φ = 19349176320.

The previous prime is 86425807667. The next prime is 86425807693. The reversal of 86425807680 is 8670852468.

86425807680 is a `hidden beast` number, since 86 + 425 + 80 + 7 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86425807667) and next prime (86425807693).

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 223 ways as a sum of consecutive naturals, for example, 2335832622 + ... + 2335832658.

Almost surely, 2^86425807680 is an apocalyptic number.

86425807680 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 86425807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182297710080).

86425807680 is an abundant number, since it is smaller than the sum of its proper divisors (278169612480).

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

86425807680 is a wasteful number, since it uses less digits than its factorization.

86425807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 86425807680 in words is "eighty-six billion, four hundred twenty-five million, eight hundred seven thousand, six hundred eighty".