86228725968 has 240 divisors, whose sum is σ = 307270619136. Its totient is φ = 21920405760.

The previous prime is 86228725967. The next prime is 86228725969. The reversal of 86228725968 is 86952782268.

It is an interprime number because it is at equal distance from previous prime (86228725967) and next prime (86228725969).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86228725967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438405 + ... + 603867.

Almost surely, 2^86228725968 is an apocalyptic number.

86228725968 is a gapful number since it is divisible by the number (88) 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 86228725968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153635309568).

86228725968 is an abundant number, since it is smaller than the sum of its proper divisors (221041893168).

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

86228725968 is a wasteful number, since it uses less digits than its factorization.

86228725968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165542 (or 165533 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 86228725968 in words is "eighty-six billion, two hundred twenty-eight million, seven hundred twenty-five thousand, nine hundred sixty-eight".