225716054125410 has 384 divisors, whose sum is σ = 630248097024000. Its totient is φ = 55878729984000.

The previous prime is 225716054125381. The next prime is 225716054125427. The reversal of 225716054125410 is 14521450617522.

225716054125410 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 1 + 60 + 5 + 41 + 2 + 541 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25507516666 + ... + 25507525514.

It is an arithmetic number, because the mean of its divisors is an integer number (1641271086000).

Almost surely, 2^{225716054125410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225716054125410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315124048512000).

225716054125410 is an abundant number, since it is smaller than the sum of its proper divisors (404532042898590).

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

225716054125410 is a wasteful number, since it uses less digits than its factorization.

225716054125410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10086 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 225716054125410 in words is "two hundred twenty-five trillion, seven hundred sixteen billion, fifty-four million, one hundred twenty-five thousand, four hundred ten".