25251429006400 has 63 divisors (see below), whose sum is σ = 62134792096309. Its totient is φ = 10100491201280.

The previous prime is 25251429006359. The next prime is 25251429006409. The reversal of 25251429006400 is 460092415252.

The square root of 25251429006400 is 5025080.

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., 9090514442304 + 16160914564096 = 3015048^2 + 4020064^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25251429006409) 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, 200940387 + ... + 201066013.

Almost surely, 2^{25251429006400} is an apocalyptic number.

25251429006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25251429006400 is the 5025080-th square number.

It is an amenable number.

25251429006400 is an abundant number, since it is smaller than the sum of its proper divisors (36883363089909).

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

25251429006400 is an frugal number, since it uses more digits than its factorization.

25251429006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251276 (or 125634 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 25251429006400 in words is "twenty-five trillion, two hundred fifty-one billion, four hundred twenty-nine million, six thousand, four hundred".