86125998600 has 384 divisors, whose sum is σ = 307774051200. Its totient is φ = 22121164800.

The previous prime is 86125998547. The next prime is 86125998617. The reversal of 86125998600 is 689952168.

It is a happy number.

86125998600 is a `hidden beast` number, since 8 + 6 + 1 + 25 + 9 + 9 + 8 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 16948060 + ... + 16953140.

It is an arithmetic number, because the mean of its divisors is an integer number (801494925).

Almost surely, 2^86125998600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86125998600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153887025600).

86125998600 is an abundant number, since it is smaller than the sum of its proper divisors (221648052600).

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

86125998600 is a wasteful number, since it uses less digits than its factorization.

86125998600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 86125998600 in words is "eighty-six billion, one hundred twenty-five million, nine hundred ninety-eight thousand, six hundred".