25217954087040 has 512 divisors, whose sum is σ = 104927861203200. Its totient is φ = 5643177984000.

The previous prime is 25217954086987. The next prime is 25217954087057. The reversal of 25217954087040 is 4078045971252.

25217954087040 is a `hidden beast` number, since 2 + 5 + 2 + 17 + 9 + 540 + 87 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2631661 + ... + 7573740.

Almost surely, 2^{25217954087040} is an apocalyptic number.

25217954087040 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 25217954087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52463930601600).

25217954087040 is an abundant number, since it is smaller than the sum of its proper divisors (79709907116160).

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

25217954087040 is a wasteful number, since it uses less digits than its factorization.

25217954087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205453 (or 10205435 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 25217954087040 in words is "twenty-five trillion, two hundred seventeen billion, nine hundred fifty-four million, eighty-seven thousand, forty".