220025594880 has 1056 divisors, whose sum is σ = 947634315264. Its totient is φ = 45963804672.

The previous prime is 220025594869. The next prime is 220025594917. The reversal of 220025594880 is 88495520022.

It is a super-2 number, since 2×220025594880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 574479169 + ... + 574479551.

Almost surely, 2^220025594880 is an apocalyptic number.

220025594880 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 220025594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473817157632).

220025594880 is an abundant number, since it is smaller than the sum of its proper divisors (727608720384).

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

220025594880 is a wasteful number, since it uses less digits than its factorization.

220025594880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 220025594880 in words is "two hundred twenty billion, twenty-five million, five hundred ninety-four thousand, eight hundred eighty".