25210791648 has 576 divisors, whose sum is σ = 94567979520. Its totient is φ = 6480359424.

The previous prime is 25210791623. The next prime is 25210791653. The reversal of 25210791648 is 84619701252.

25210791648 is a `hidden beast` number, since 2 + 521 + 0 + 79 + 16 + 48 = 666.

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 95 ways as a sum of consecutive naturals, for example, 16552615 + ... + 16554137.

It is an arithmetic number, because the mean of its divisors is an integer number (164180520).

Almost surely, 2^25210791648 is an apocalyptic number.

25210791648 is a gapful number since it is divisible by the number (28) 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 25210791648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47283989760).

25210791648 is an abundant number, since it is smaller than the sum of its proper divisors (69357187872).

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

25210791648 is a wasteful number, since it uses less digits than its factorization.

25210791648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 25210791648 in words is "twenty-five billion, two hundred ten million, seven hundred ninety-one thousand, six hundred forty-eight".