25869519037440 has 2112 divisors, whose sum is σ = 105287837630976. Its totient is φ = 6042930905088.

The previous prime is 25869519037433. The next prime is 25869519037477. The reversal of 25869519037440 is 4473091596852.

25869519037440 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 9 + 519 + 0 + 3 + 74 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73284756304 + ... + 73284756656.

It is an arithmetic number, because the mean of its divisors is an integer number (49852195848).

It is a 1-persistent number, because it is pandigital, but 2⋅25869519037440 = 51739038074880 is not.

Almost surely, 2^{25869519037440} is an apocalyptic number.

25869519037440 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 25869519037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52643918815488).

25869519037440 is an abundant number, since it is smaller than the sum of its proper divisors (79418318593536).

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

25869519037440 is a wasteful number, since it uses less digits than its factorization.

25869519037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 25869519037440 in words is "twenty-five trillion, eight hundred sixty-nine billion, five hundred nineteen million, thirty-seven thousand, four hundred forty".