25381912765440 has 1408 divisors, whose sum is σ = 102626049576960. Its totient is φ = 5201185996800.

The previous prime is 25381912765427. The next prime is 25381912765459. The reversal of 25381912765440 is 4456721918352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29756052054 + ... + 29756052906.

It is a 1-persistent number, because it is pandigital, but 2⋅25381912765440 = 50763825530880 is not.

Almost surely, 2^{25381912765440} is an apocalyptic number.

25381912765440 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 25381912765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51313024788480).

25381912765440 is an abundant number, since it is smaller than the sum of its proper divisors (77244136811520).

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

25381912765440 is a wasteful number, since it uses less digits than its factorization.

25381912765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 25381912765440 in words is "twenty-five trillion, three hundred eighty-one billion, nine hundred twelve million, seven hundred sixty-five thousand, four hundred forty".