225737727840 has 288 divisors, whose sum is σ = 794375854272. Its totient is φ = 58337280000.

The previous prime is 225737727823. The next prime is 225737727851. The reversal of 225737727840 is 48727737522.

225737727840 is a `hidden beast` number, since 2 + 2 + 573 + 7 + 7 + 27 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×225737727840² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8902380 + ... + 8927700.

It is an arithmetic number, because the mean of its divisors is an integer number (2758249494).

Almost surely, 2^225737727840 is an apocalyptic number.

225737727840 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 225737727840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397187927136).

225737727840 is an abundant number, since it is smaller than the sum of its proper divisors (568638126432).

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

225737727840 is a wasteful number, since it uses less digits than its factorization.

225737727840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25534 (or 25523 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 54.

The spelling of 225737727840 in words is "two hundred twenty-five billion, seven hundred thirty-seven million, seven hundred twenty-seven thousand, eight hundred forty".