86725338000 has 320 divisors, whose sum is σ = 323150031360. Its totient is φ = 19599360000.

The previous prime is 86725337981. The next prime is 86725338059. The reversal of 86725338000 is 83352768.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3726400 + ... + 3749600.

It is an arithmetic number, because the mean of its divisors is an integer number (1009843848).

Almost surely, 2^86725338000 is an apocalyptic number.

86725338000 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 86725338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161575015680).

86725338000 is an abundant number, since it is smaller than the sum of its proper divisors (236424693360).

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

86725338000 is a wasteful number, since it uses less digits than its factorization.

86725338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23323 (or 23307 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 86725338000 in words is "eighty-six billion, seven hundred twenty-five million, three hundred thirty-eight thousand".