86738758260 has 576 divisors, whose sum is σ = 320356270080. Its totient is φ = 17321472000.

The previous prime is 86738758237. The next prime is 86738758273. The reversal of 86738758260 is 6285783768.

It is a super-2 number, since 2×86738758260² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 86738758194 and 86738758203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241611961 + ... + 241612319.

It is an arithmetic number, because the mean of its divisors is an integer number (556174080).

Almost surely, 2^86738758260 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 86738758260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160178135040).

86738758260 is an abundant number, since it is smaller than the sum of its proper divisors (233617511820).

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

86738758260 is a wasteful number, since it uses less digits than its factorization.

86738758260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 86738758260 in words is "eighty-six billion, seven hundred thirty-eight million, seven hundred fifty-eight thousand, two hundred sixty".