225716531040 has 1920 divisors, whose sum is σ = 1085839147008. Its totient is φ = 42639851520.

The previous prime is 225716531023. The next prime is 225716531077. The reversal of 225716531040 is 40135617522.

225716531040 is a `hidden beast` number, since 22 + 57 + 16 + 531 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225716530986 and 225716531004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1647565852 + ... + 1647565988.

Almost surely, 2^225716531040 is an apocalyptic number.

225716531040 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 225716531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542919573504).

225716531040 is an abundant number, since it is smaller than the sum of its proper divisors (860122615968).

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

225716531040 is a wasteful number, since it uses less digits than its factorization.

225716531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 225716531040 in words is "two hundred twenty-five billion, seven hundred sixteen million, five hundred thirty-one thousand, forty".