25209182880 has 960 divisors, whose sum is σ = 106697606400. Its totient is φ = 5600544768.

The previous prime is 25209182833. The next prime is 25209182891. The reversal of 25209182880 is 8828190252.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 235599787 + ... + 235599893.

It is an arithmetic number, because the mean of its divisors is an integer number (111143340).

Almost surely, 2^25209182880 is an apocalyptic number.

25209182880 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 25209182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53348803200).

25209182880 is an abundant number, since it is smaller than the sum of its proper divisors (81488423520).

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

25209182880 is a wasteful number, since it uses less digits than its factorization.

25209182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

It can be divided in two parts, 252091 and 82880, that added together give a triangular number (334971 = T₈₁₈).

The spelling of 25209182880 in words is "twenty-five billion, two hundred nine million, one hundred eighty-two thousand, eight hundred eighty".