5902859854080 has 2304 divisors, whose sum is σ = 26854745702400. Its totient is φ = 1196516966400.

The previous prime is 5902859854061. The next prime is 5902859854141. The reversal of 5902859854080 is 804589582095.

5902859854080 is a `hidden beast` number, since 5 + 9 + 0 + 2 + 8 + 5 + 9 + 8 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×5902859854080³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5902859853999 and 5902859854017.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5128461505 + ... + 5128462655.

It is an arithmetic number, because the mean of its divisors is an integer number (11655705600).

Almost surely, 2^{5902859854080} 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 5902859854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13427372851200).

5902859854080 is an abundant number, since it is smaller than the sum of its proper divisors (20951885848320).

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

5902859854080 is a wasteful number, since it uses less digits than its factorization.

5902859854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 5902859854080 in words is "five trillion, nine hundred two billion, eight hundred fifty-nine million, eight hundred fifty-four thousand, eighty".