2825520086016 has 528 divisors, whose sum is σ = 8889819681600. Its totient is φ = 861640851456.

The previous prime is 2825520085919. The next prime is 2825520086023. The reversal of 2825520086016 is 6106800255282.

It is a happy number.

2825520086016 is a `hidden beast` number, since 2 + 8 + 2 + 552 + 0 + 0 + 86 + 0 + 16 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670028740 + ... + 670032956.

It is an arithmetic number, because the mean of its divisors is an integer number (16836779700).

Almost surely, 2^{2825520086016} 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 2825520086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444909840800).

2825520086016 is an abundant number, since it is smaller than the sum of its proper divisors (6064299595584).

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

2825520086016 is a wasteful number, since it uses less digits than its factorization.

2825520086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2825520086016 in words is "two trillion, eight hundred twenty-five billion, five hundred twenty million, eighty-six thousand, sixteen".