25650905280 has 448 divisors, whose sum is σ = 109352291328. Its totient is φ = 4919869440.

The previous prime is 25650905279. The next prime is 25650905327. The reversal of 25650905280 is 8250905652.

It is a Cunningham number, because it is equal to 160159²-1.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 947614 + ... + 974306.

It is an arithmetic number, because the mean of its divisors is an integer number (244089936).

Almost surely, 2^25650905280 is an apocalyptic number.

25650905280 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 25650905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54676145664).

25650905280 is an abundant number, since it is smaller than the sum of its proper divisors (83701386048).

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

25650905280 is a wasteful number, since it uses less digits than its factorization.

25650905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26744 (or 26734 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

It can be divided in two parts, 25650 and 905280, that added together give a triangular number (930930 = T₁₃₆₄).

The spelling of 25650905280 in words is "twenty-five billion, six hundred fifty million, nine hundred five thousand, two hundred eighty".