25528261920 has 192 divisors, whose sum is σ = 94866702336. Its totient is φ = 5646781440.

The previous prime is 25528261919. The next prime is 25528261931. The reversal of 25528261920 is 2916282552.

It is a super-2 number, since 2×25528261920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 18384 + ... + 226703.

It is an arithmetic number, because the mean of its divisors is an integer number (494097408).

Almost surely, 2^25528261920 is an apocalyptic number.

25528261920 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 25528261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47433351168).

25528261920 is an abundant number, since it is smaller than the sum of its proper divisors (69338440416).

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

25528261920 is a wasteful number, since it uses less digits than its factorization.

25528261920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245143 (or 245135 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 25528261920 in words is "twenty-five billion, five hundred twenty-eight million, two hundred sixty-one thousand, nine hundred twenty".