86210743752 has 96 divisors (see below), whose sum is σ = 267032001600. Its totient is φ = 24614174592.

The previous prime is 86210743739. The next prime is 86210743823. The reversal of 86210743752 is 25734701268.

86210743752 is a `hidden beast` number, since 8 + 62 + 107 + 437 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86210743698 and 86210743707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659274 + ... + 779142.

It is an arithmetic number, because the mean of its divisors is an integer number (2781583350).

Almost surely, 2^86210743752 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 86210743752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133516000800).

86210743752 is an abundant number, since it is smaller than the sum of its proper divisors (180821257848).

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

86210743752 is a wasteful number, since it uses less digits than its factorization.

86210743752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121315 (or 121308 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 86210743752 in words is "eighty-six billion, two hundred ten million, seven hundred forty-three thousand, seven hundred fifty-two".