25460340480 has 432 divisors, whose sum is σ = 93277285920. Its totient is φ = 6393987072.

The previous prime is 25460340469. The next prime is 25460340497. The reversal of 25460340480 is 8404306452.

25460340480 is a `hidden beast` number, since 2 + 5 + 4 + 603 + 4 + 0 + 48 + 0 = 666.

It is a super-3 number, since 3×25460340480³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64131642 + ... + 64132038.

Almost surely, 2^25460340480 is an apocalyptic number.

25460340480 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 25460340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46638642960).

25460340480 is an abundant number, since it is smaller than the sum of its proper divisors (67816945440).

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

25460340480 is a wasteful number, since it uses less digits than its factorization.

25460340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 25460 and 340480, that added together give a triangular number (365940 = T₈₅₅).

The spelling of 25460340480 in words is "twenty-five billion, four hundred sixty million, three hundred forty thousand, four hundred eighty".