25016769264 has 160 divisors (see below), whose sum is σ = 68823095040. Its totient is φ = 7816345600.

The previous prime is 25016769251. The next prime is 25016769269. The reversal of 25016769264 is 46296761052.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25016769269) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12954379 + ... + 12956309.

It is an arithmetic number, because the mean of its divisors is an integer number (430144344).

Almost surely, 2^25016769264 is an apocalyptic number.

25016769264 is a gapful number since it is divisible by the number (24) 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 25016769264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34411547520).

25016769264 is an abundant number, since it is smaller than the sum of its proper divisors (43806325776).

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

25016769264 is a wasteful number, since it uses less digits than its factorization.

25016769264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 25016769264 in words is "twenty-five billion, sixteen million, seven hundred sixty-nine thousand, two hundred sixty-four".