25916197309440 has 352 divisors, whose sum is σ = 85188767917824. Its totient is φ = 6719690833920.

The previous prime is 25916197309309. The next prime is 25916197309447. The reversal of 25916197309440 is 4490379161952.

It is a super-2 number, since 2×25916197309440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (25916197309447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 892816207 + ... + 892845233.

Almost surely, 2^{25916197309440} is an apocalyptic number.

25916197309440 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 25916197309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42594383958912).

25916197309440 is an abundant number, since it is smaller than the sum of its proper divisors (59272570608384).

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

25916197309440 is a wasteful number, since it uses less digits than its factorization.

25916197309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30663 (or 30645 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 25916197309440 in words is "twenty-five trillion, nine hundred sixteen billion, one hundred ninety-seven million, three hundred nine thousand, four hundred forty".