229077887935680 has 784 divisors, whose sum is σ = 934865833063680. Its totient is φ = 52351431542784.

The previous prime is 229077887935679. The next prime is 229077887935681. The reversal of 229077887935680 is 86539788770922.

229077887935680 is a `hidden beast` number, since 22 + 90 + 7 + 7 + 8 + 87 + 9 + 356 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (229077887935679) and next prime (229077887935681).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 229077887935680.

It is not an unprimeable number, because it can be changed into a prime (229077887935681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14401066287 + ... + 14401082193.

It is an arithmetic number, because the mean of its divisors is an integer number (1192430909520).

Almost surely, 2^{229077887935680} is an apocalyptic number.

229077887935680 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 229077887935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467432916531840).

229077887935680 is an abundant number, since it is smaller than the sum of its proper divisors (705787945128000).

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

229077887935680 is an equidigital number, since it uses as much as digits as its factorization.

229077887935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24768 (or 24743 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 81.

The spelling of 229077887935680 in words is "two hundred twenty-nine trillion, seventy-seven billion, eight hundred eighty-seven million, nine hundred thirty-five thousand, six hundred eighty".