25670294138880 has 1248 divisors, whose sum is σ = 95402661838848. Its totient is φ = 6373284249600.

The previous prime is 25670294138873. The next prime is 25670294138969. The reversal of 25670294138880 is 8883149207652.

25670294138880 is a `hidden beast` number, since 2 + 5 + 67 + 0 + 2 + 9 + 413 + 88 + 80 = 666.

It is a congruent number.

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, 16381807857 + ... + 16381809423.

It is an arithmetic number, because the mean of its divisors is an integer number (76444440576).

It is a 1-persistent number, because it is pandigital, but 2⋅25670294138880 = 51340588277760 is not.

Almost surely, 2^{25670294138880} is an apocalyptic number.

25670294138880 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 25670294138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47701330919424).

25670294138880 is an abundant number, since it is smaller than the sum of its proper divisors (69732367699968).

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

25670294138880 is a wasteful number, since it uses less digits than its factorization.

25670294138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 25670294138880 in words is "twenty-five trillion, six hundred seventy billion, two hundred ninety-four million, one hundred thirty-eight thousand, eight hundred eighty".