86421080678400 has 2016 divisors, whose sum is σ = 345962242499328. Its totient is φ = 20481992294400.

The previous prime is 86421080678393. The next prime is 86421080678447. The reversal of 86421080678400 is 487608012468.

86421080678400 is a `hidden beast` number, since 8 + 6 + 421 + 0 + 80 + 67 + 84 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94863973945 + ... + 94863974855.

It is an arithmetic number, because the mean of its divisors is an integer number (171608255208).

Almost surely, 2^{86421080678400} is an apocalyptic number.

86421080678400 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 86421080678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172981121249664).

86421080678400 is an abundant number, since it is smaller than the sum of its proper divisors (259541161820928).

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

86421080678400 is a wasteful number, since it uses less digits than its factorization.

86421080678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 86421080678400 in words is "eighty-six trillion, four hundred twenty-one billion, eighty million, six hundred seventy-eight thousand, four hundred".