25522400540 has 96 divisors (see below), whose sum is σ = 67083932160. Its totient is φ = 7940480256.

The previous prime is 25522400539. The next prime is 25522400551. The reversal of 25522400540 is 4500422552.

It is a super-3 number, since 3×25522400540³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11462 + ... + 226221.

It is an arithmetic number, because the mean of its divisors is an integer number (698790960).

Almost surely, 2^25522400540 is an apocalyptic number.

25522400540 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 25522400540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33541966080).

25522400540 is an abundant number, since it is smaller than the sum of its proper divisors (41561531620).

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

25522400540 is a wasteful number, since it uses less digits than its factorization.

25522400540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237771 (or 237769 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The spelling of 25522400540 in words is "twenty-five billion, five hundred twenty-two million, four hundred thousand, five hundred forty".