86406257250 has 512 divisors, whose sum is σ = 262918656000. Its totient is φ = 20925216000.

The previous prime is 86406257243. The next prime is 86406257279. The reversal of 86406257250 is 5275260468.

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

It is a junction number, because it is equal to n+sod(n) for n = 86406257196 and 86406257205.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 621627681 + ... + 621627819.

It is an arithmetic number, because the mean of its divisors is an integer number (513513000).

Almost surely, 2^86406257250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86406257250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459328000).

86406257250 is an abundant number, since it is smaller than the sum of its proper divisors (176512398750).

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

86406257250 is a wasteful number, since it uses less digits than its factorization.

86406257250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 86406257250 in words is "eighty-six billion, four hundred six million, two hundred fifty-seven thousand, two hundred fifty".