227997776160 has 1440 divisors, whose sum is σ = 1033148971008. Its totient is φ = 46820229120.

The previous prime is 227997776143. The next prime is 227997776173. The reversal of 227997776160 is 61677799722.

227997776160 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 9 + 7 + 7 + 7 + 616 + 0 = 666.

227997776160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 887150752 + ... + 887151008.

Almost surely, 2^227997776160 is an apocalyptic number.

227997776160 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 227997776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516574485504).

227997776160 is an abundant number, since it is smaller than the sum of its proper divisors (805151194848).

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

227997776160 is a wasteful number, since it uses less digits than its factorization.

227997776160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 227997776160 in words is "two hundred twenty-seven billion, nine hundred ninety-seven million, seven hundred seventy-six thousand, one hundred sixty".