25681933515840 has 672 divisors, whose sum is σ = 105718369898880. Its totient is φ = 5234068094976.

The previous prime is 25681933515829. The next prime is 25681933515869. The reversal of 25681933515840 is 4851533918652.

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

It is a super-2 number, since 2×25681933515840² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14348782 + ... + 16039058.

Almost surely, 2^{25681933515840} is an apocalyptic number.

25681933515840 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 25681933515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52859184949440).

25681933515840 is an abundant number, since it is smaller than the sum of its proper divisors (80036436383040).

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

25681933515840 is a wasteful number, since it uses less digits than its factorization.

25681933515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690347 (or 1690330 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 60.

The spelling of 25681933515840 in words is "twenty-five trillion, six hundred eighty-one billion, nine hundred thirty-three million, five hundred fifteen thousand, eight hundred forty".