221127835223880 has 384 divisors, whose sum is σ = 788047923892320. Its totient is φ = 53442989015040.

The previous prime is 221127835223857. The next prime is 221127835223903. The reversal of 221127835223880 is 88322538721122.

221127835223880 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 2 + 7 + 8 + 3 + 522 + 38 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (221127835223857) and next prime (221127835223903).

It can be written as a sum of positive squares in 16 ways, for example, as 10511173504836 + 210616661719044 = 3242094^2 + 14512638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158317044 + ... + 159707676.

Almost surely, 2^{221127835223880} is an apocalyptic number.

221127835223880 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 221127835223880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394023961946160).

221127835223880 is an abundant number, since it is smaller than the sum of its proper divisors (566920088668440).

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

221127835223880 is a wasteful number, since it uses less digits than its factorization.

221127835223880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391281 (or 1391274 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 221127835223880 in words is "two hundred twenty-one trillion, one hundred twenty-seven billion, eight hundred thirty-five million, two hundred twenty-three thousand, eight hundred eighty".