86370375168 has 1600 divisors, whose sum is σ = 357635824128. Its totient is φ = 20065812480.

The previous prime is 86370375101. The next prime is 86370375239. The reversal of 86370375168 is 86157307368.

86370375168 is a `hidden beast` number, since 86 + 37 + 0 + 375 + 168 = 666.

It is a super-2 number, since 2×86370375168² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2008613355 + ... + 2008613397.

Almost surely, 2^86370375168 is an apocalyptic number.

86370375168 is a gapful number since it is divisible by the number (88) 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 86370375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178817912064).

86370375168 is an abundant number, since it is smaller than the sum of its proper divisors (271265448960).

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

86370375168 is a wasteful number, since it uses less digits than its factorization.

86370375168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 86370375168 in words is "eighty-six billion, three hundred seventy million, three hundred seventy-five thousand, one hundred sixty-eight".