25520511240 has 672 divisors, whose sum is σ = 102340606680. Its totient is φ = 5706215424.

The previous prime is 25520511221. The next prime is 25520511277. The reversal of 25520511240 is 4211502552.

25520511240 is a `hidden beast` number, since 25 + 520 + 5 + 112 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20307960036 + 5212551204 = 142506^2 + 72198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 75728352 + ... + 75728688.

Almost surely, 2^25520511240 is an apocalyptic number.

25520511240 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 25520511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51170303340).

25520511240 is an abundant number, since it is smaller than the sum of its proper divisors (76820095440).

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

25520511240 is a wasteful number, since it uses less digits than its factorization.

25520511240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 25520511240 in words is "twenty-five billion, five hundred twenty million, five hundred eleven thousand, two hundred forty".