5825857788090 has 256 divisors, whose sum is σ = 16889720832000. Its totient is φ = 1423566627840.

The previous prime is 5825857788073. The next prime is 5825857788103. The reversal of 5825857788090 is 908877585285.

It is a super-3 number, since 3×5825857788090³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 338566267 + ... + 338583473.

It is an arithmetic number, because the mean of its divisors is an integer number (65975472000).

Almost surely, 2^{5825857788090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5825857788090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444860416000).

5825857788090 is an abundant number, since it is smaller than the sum of its proper divisors (11063863043910).

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

5825857788090 is a wasteful number, since it uses less digits than its factorization.

5825857788090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19402 (or 19396 counting only the distinct ones).

The product of its (nonzero) digits is 451584000, while the sum is 72.

The spelling of 5825857788090 in words is "five trillion, eight hundred twenty-five billion, eight hundred fifty-seven million, seven hundred eighty-eight thousand, ninety".