85786700486400 has 864 divisors, whose sum is σ = 333262724820480. Its totient is φ = 21518664007680.

The previous prime is 85786700486381. The next prime is 85786700486479. The reversal of 85786700486400 is 468400768758.

85786700486400 is a `hidden beast` number, since 8 + 5 + 7 + 86 + 70 + 0 + 4 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5954507997 + ... + 5954522403.

It is an arithmetic number, because the mean of its divisors is an integer number (385720746320).

Almost surely, 2^{85786700486400} is an apocalyptic number.

85786700486400 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 85786700486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166631362410240).

85786700486400 is an abundant number, since it is smaller than the sum of its proper divisors (247476024334080).

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

85786700486400 is a wasteful number, since it uses less digits than its factorization.

85786700486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16486 (or 16461 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 85786700486400 in words is "eighty-five trillion, seven hundred eighty-six billion, seven hundred million, four hundred eighty-six thousand, four hundred".