2825398000800 has 360 divisors, whose sum is σ = 10909780034076. Its totient is φ = 709119221760.

The previous prime is 2825398000787. The next prime is 2825398000829. The reversal of 2825398000800 is 80008935282.

It can be written as a sum of positive squares in 6 ways, for example, as 1562930029584 + 1262467971216 = 1250172^2 + 1123596^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 180807 + ... + 2384006.

Almost surely, 2^{2825398000800} is an apocalyptic number.

2825398000800 is a gapful number since it is divisible by the number (20) 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 2825398000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454890017038).

2825398000800 is an abundant number, since it is smaller than the sum of its proper divisors (8084382033276).

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

2825398000800 is a wasteful number, since it uses less digits than its factorization.

2825398000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564862 (or 2564840 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2825398000800 in words is "two trillion, eight hundred twenty-five billion, three hundred ninety-eight million, eight hundred", and thus it is an aban number.