86348021760 has 1800 divisors, whose sum is σ = 417922376256. Its totient is φ = 16562257920.

The previous prime is 86348021759. The next prime is 86348021777. The reversal of 86348021760 is 6712084368.

86348021760 is a `hidden beast` number, since 8 + 634 + 8 + 0 + 2 + 1 + 7 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6642155514 + ... + 6642155526.

Almost surely, 2^86348021760 is an apocalyptic number.

86348021760 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 86348021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208961188128).

86348021760 is an abundant number, since it is smaller than the sum of its proper divisors (331574354496).

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

86348021760 is a wasteful number, since it uses less digits than its factorization.

86348021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 86348021760 in words is "eighty-six billion, three hundred forty-eight million, twenty-one thousand, seven hundred sixty".