1220632561584 has 160 divisors (see below), whose sum is σ = 3600376624640. Its totient is φ = 395659116288.

The previous prime is 1220632561583. The next prime is 1220632561639. The reversal of 1220632561584 is 4851652360221.

1220632561584 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 6 + 3 + 2 + 5 + 61 + 584 = 666.

It is not an unprimeable number, because it can be changed into a prime (1220632561583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29821677 + ... + 29862579.

It is an arithmetic number, because the mean of its divisors is an integer number (22502353904).

Almost surely, 2^{1220632561584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220632561584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800188312320).

1220632561584 is an abundant number, since it is smaller than the sum of its proper divisors (2379744063056).

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

1220632561584 is a wasteful number, since it uses less digits than its factorization.

1220632561584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42824 (or 42812 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1220632561584 in words is "one trillion, two hundred twenty billion, six hundred thirty-two million, five hundred sixty-one thousand, five hundred eighty-four".