25084001255040 has 1920 divisors, whose sum is σ = 112674750693120. Its totient is φ = 5271038115840.

The previous prime is 25084001255039. The next prime is 25084001255107. The reversal of 25084001255040 is 4055210048052.

25084001255040 is a `hidden beast` number, since 2 + 50 + 8 + 4 + 0 + 0 + 12 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 25084001254986 and 25084001255004.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8948982279 + ... + 8948985081.

It is an arithmetic number, because the mean of its divisors is an integer number (58684765986).

Almost surely, 2^{25084001255040} is an apocalyptic number.

25084001255040 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 25084001255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56337375346560).

25084001255040 is an abundant number, since it is smaller than the sum of its proper divisors (87590749438080).

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

25084001255040 is a wasteful number, since it uses less digits than its factorization.

25084001255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3104 counting only the distinct ones).

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

The spelling of 25084001255040 in words is "twenty-five trillion, eighty-four billion, one million, two hundred fifty-five thousand, forty".