25784552400 has 120 divisors (see below), whose sum is σ = 82724017824. Its totient is φ = 6865267200.

The previous prime is 25784552399. The next prime is 25784552401. The reversal of 25784552400 is 425548752.

It is an interprime number because it is at equal distance from previous prime (25784552399) and next prime (25784552401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25784552401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776947 + ... + 809453.

Almost surely, 2^25784552400 is an apocalyptic number.

25784552400 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 25784552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41362008912).

25784552400 is an abundant number, since it is smaller than the sum of its proper divisors (56939465424).

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

25784552400 is a wasteful number, since it uses less digits than its factorization.

25784552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33189 (or 33178 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 25784552400 in words is "twenty-five billion, seven hundred eighty-four million, five hundred fifty-two thousand, four hundred".