25287360400 has 45 divisors (see below), whose sum is σ = 60760525233. Its totient is φ = 10113672000.

The previous prime is 25287360341. The next prime is 25287360409. The reversal of 25287360400 is 406378252.

The square root of 25287360400 is 159020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9103449744 + 16183910656 = 95412^2 + 127216^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25287360400.

It is not an unprimeable number, because it can be changed into a prime (25287360409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3176425 + ... + 3184375.

Almost surely, 2^25287360400 is an apocalyptic number.

25287360400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25287360400 is the 159020-th square number.

It is an amenable number.

25287360400 is an abundant number, since it is smaller than the sum of its proper divisors (35473164833).

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

25287360400 is an frugal number, since it uses more digits than its factorization.

25287360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15920 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 25287360400 in words is "twenty-five billion, two hundred eighty-seven million, three hundred sixty thousand, four hundred".