86618435400 has 480 divisors, whose sum is σ = 355684824000. Its totient is φ = 19115066880.

The previous prime is 86618435359. The next prime is 86618435401. The reversal of 86618435400 is 453481668.

86618435400 is a `hidden beast` number, since 8 + 6 + 61 + 8 + 43 + 540 + 0 = 666.

It is a super-2 number, since 2×86618435400² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (86618435401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3275431 + ... + 3301769.

It is an arithmetic number, because the mean of its divisors is an integer number (741010050).

Almost surely, 2^86618435400 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 86618435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177842412000).

86618435400 is an abundant number, since it is smaller than the sum of its proper divisors (269066388600).

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

86618435400 is a wasteful number, since it uses less digits than its factorization.

86618435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26403 (or 26385 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 86618435400 in words is "eighty-six billion, six hundred eighteen million, four hundred thirty-five thousand, four hundred".