25875325440 has 480 divisors, whose sum is σ = 93148323840. Its totient is φ = 6632865792.

The previous prime is 25875325423. The next prime is 25875325451. The reversal of 25875325440 is 4452357852.

25875325440 is a `hidden beast` number, since 2 + 5 + 8 + 75 + 32 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×25875325440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108264841 + ... + 108265079.

It is an arithmetic number, because the mean of its divisors is an integer number (194059008).

Almost surely, 2^25875325440 is an apocalyptic number.

25875325440 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 25875325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46574161920).

25875325440 is an abundant number, since it is smaller than the sum of its proper divisors (67272998400).

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

25875325440 is a wasteful number, since it uses less digits than its factorization.

25875325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 25875325440 in words is "twenty-five billion, eight hundred seventy-five million, three hundred twenty-five thousand, four hundred forty".