25219780704 has 384 divisors, whose sum is σ = 80935303680. Its totient is φ = 7608287232.

The previous prime is 25219780693. The next prime is 25219780711. The reversal of 25219780704 is 40708791252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 25219780704.

It is a congruent number.

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, 46105359 + ... + 46105905.

It is an arithmetic number, because the mean of its divisors is an integer number (210769020).

Almost surely, 2^25219780704 is an apocalyptic number.

25219780704 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 25219780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40467651840).

25219780704 is an abundant number, since it is smaller than the sum of its proper divisors (55715522976).

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

25219780704 is a wasteful number, since it uses less digits than its factorization.

25219780704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

It can be divided in two parts, 25219780 and 704, that added together give a square (25220484 = 5022²).

The spelling of 25219780704 in words is "twenty-five billion, two hundred nineteen million, seven hundred eighty thousand, seven hundred four".