220577950656000 has 7680 divisors, whose sum is σ = 1079895482265600. Its totient is φ = 43858132992000.

The previous prime is 220577950655989. The next prime is 220577950656097. The reversal of 220577950656000 is 656059775022.

220577950656000 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 7 + 79 + 5 + 0 + 6 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5379950015980 + ... + 5379950016020.

It is an arithmetic number, because the mean of its divisors is an integer number (140611390920).

Almost surely, 2^{220577950656000} is an apocalyptic number.

220577950656000 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 220577950656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539947741132800).

220577950656000 is an abundant number, since it is smaller than the sum of its proper divisors (859317531609600).

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

220577950656000 is an frugal number, since it uses more digits than its factorization.

220577950656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 220577950656000 in words is "two hundred twenty trillion, five hundred seventy-seven billion, nine hundred fifty million, six hundred fifty-six thousand".