25112892450240 has 672 divisors, whose sum is σ = 101172130375680. Its totient is φ = 5599118573568.

The previous prime is 25112892450227. The next prime is 25112892450259. The reversal of 25112892450240 is 4205429821152.

25112892450240 is a `hidden beast` number, since 2 + 5 + 1 + 1 + 2 + 89 + 24 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132094132 + ... + 132284108.

It is an arithmetic number, because the mean of its divisors is an integer number (150553765440).

Almost surely, 2^{25112892450240} is an apocalyptic number.

25112892450240 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 25112892450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50586065187840).

25112892450240 is an abundant number, since it is smaller than the sum of its proper divisors (76059237925440).

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

25112892450240 is a wasteful number, since it uses less digits than its factorization.

25112892450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190169 (or 190156 counting only the distinct ones).

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

The spelling of 25112892450240 in words is "twenty-five trillion, one hundred twelve billion, eight hundred ninety-two million, four hundred fifty thousand, two hundred forty".