25191916097040 has 800 divisors, whose sum is σ = 110144297742336. Its totient is φ = 5183851115520.

The previous prime is 25191916096981. The next prime is 25191916097053. The reversal of 25191916097040 is 4079061919152.

It is a happy number.

25191916097040 is a `hidden beast` number, since 2 + 5 + 19 + 19 + 1 + 609 + 7 + 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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51147789 + ... + 51637971.

Almost surely, 2^{25191916097040} is an apocalyptic number.

25191916097040 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 25191916097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55072148871168).

25191916097040 is an abundant number, since it is smaller than the sum of its proper divisors (84952381645296).

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

25191916097040 is a wasteful number, since it uses less digits than its factorization.

25191916097040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490329 (or 490314 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 25191916097040 in words is "twenty-five trillion, one hundred ninety-one billion, nine hundred sixteen million, ninety-seven thousand, forty".