86378685120 has 1176 divisors, whose sum is σ = 382865168736. Its totient is φ = 18166726656.

The previous prime is 86378685097. The next prime is 86378685137. The reversal of 86378685120 is 2158687368.

86378685120 is a `hidden beast` number, since 8 + 63 + 7 + 8 + 68 + 512 + 0 = 666.

It is a super-2 number, since 2×86378685120² (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 an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 275970084 + ... + 275970396.

Almost surely, 2^86378685120 is an apocalyptic number.

86378685120 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 86378685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191432584368).

86378685120 is an abundant number, since it is smaller than the sum of its proper divisors (296486483616).

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

86378685120 is a wasteful number, since it uses less digits than its factorization.

86378685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 86378685120 in words is "eighty-six billion, three hundred seventy-eight million, six hundred eighty-five thousand, one hundred twenty".