227677520000 has 360 divisors, whose sum is σ = 662073072705. Its totient is φ = 77736960000.

The previous prime is 227677519987. The next prime is 227677520039. The reversal of 227677520000 is 25776722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 87459904 + 227590060096 = 9352^2 + 477064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=337400.

It is a super-2 number, since 2×227677520000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 944719880 + ... + 944720120.

Almost surely, 2^227677520000 is an apocalyptic number.

227677520000 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 227677520000

227677520000 is an abundant number, since it is smaller than the sum of its proper divisors (434395552705).

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

227677520000 is an frugal number, since it uses more digits than its factorization.

227677520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The spelling of 227677520000 in words is "two hundred twenty-seven billion, six hundred seventy-seven million, five hundred twenty thousand".