220428757226880 has 512 divisors, whose sum is σ = 794062362240000. Its totient is φ = 57780899168256.

The previous prime is 220428757226869. The next prime is 220428757226897. The reversal of 220428757226880 is 88622757824022.

220428757226880 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 287 + 57 + 226 + 8 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285027604 + ... + 285799916.

It is an arithmetic number, because the mean of its divisors is an integer number (1550903051250).

Almost surely, 2^{220428757226880} is an apocalyptic number.

220428757226880 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 220428757226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397031181120000).

220428757226880 is an abundant number, since it is smaller than the sum of its proper divisors (573633605013120).

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

220428757226880 is a wasteful number, since it uses less digits than its factorization.

220428757226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772623 (or 772605 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 220428757226880 in words is "two hundred twenty trillion, four hundred twenty-eight billion, seven hundred fifty-seven million, two hundred twenty-six thousand, eight hundred eighty".