2825015544000 has 672 divisors, whose sum is σ = 10907352368640. Its totient is φ = 693826560000.

The previous prime is 2825015543981. The next prime is 2825015544007. The reversal of 2825015544000 is 4455105282.

It is a super-3 number, since 3×2825015544000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2825015544007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448340850 + ... + 448347150.

It is an arithmetic number, because the mean of its divisors is an integer number (16231179120).

Almost surely, 2^{2825015544000} is an apocalyptic number.

2825015544000 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 2825015544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453676184320).

2825015544000 is an abundant number, since it is smaller than the sum of its proper divisors (8082336824640).

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

2825015544000 is a wasteful number, since it uses less digits than its factorization.

2825015544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 2825015544000 in words is "two trillion, eight hundred twenty-five billion, fifteen million, five hundred forty-four thousand".