859054334374400 has 240 divisors, whose sum is σ = 2206101556999296. Its totient is φ = 331291055800320.

The previous prime is 859054334374393. The next prime is 859054334374553. The reversal of 859054334374400 is 4473433450958.

It is a self number, because there is not a number n which added to its sum of digits gives 859054334374400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29650862 + ... + 50963538.

Almost surely, 2^{859054334374400} is an apocalyptic number.

859054334374400 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 859054334374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103050778499648).

859054334374400 is an abundant number, since it is smaller than the sum of its proper divisors (1347047222624896).

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

859054334374400 is a wasteful number, since it uses less digits than its factorization.

859054334374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21312819 (or 21312798 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 59.

The spelling of 859054334374400 in words is "eight hundred fifty-nine trillion, fifty-four billion, three hundred thirty-four million, three hundred seventy-four thousand, four hundred".