25671371190080 has 336 divisors, whose sum is σ = 81308498035968. Its totient is φ = 7530790502400.

The previous prime is 25671371190019. The next prime is 25671371190083. The reversal of 25671371190080 is 8009117317652.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25671371190083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1821965 + ... + 7393395.

It is an arithmetic number, because the mean of its divisors is an integer number (241989577488).

Almost surely, 2^{25671371190080} is an apocalyptic number.

25671371190080 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 25671371190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40654249017984).

25671371190080 is an abundant number, since it is smaller than the sum of its proper divisors (55637126845888).

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

25671371190080 is a wasteful number, since it uses less digits than its factorization.

25671371190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571494 (or 5571473 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 50.

The spelling of 25671371190080 in words is "twenty-five trillion, six hundred seventy-one billion, three hundred seventy-one million, one hundred ninety thousand, eighty".