1022055631872 has 176 divisors, whose sum is σ = 3067668655104. Its totient is φ = 299722752000.

The previous prime is 1022055631867. The next prime is 1022055631873. The reversal of 1022055631872 is 2781365502201.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (1022055631873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559722 + ... + 1535382.

Almost surely, 2^{1022055631872} is an apocalyptic number.

1022055631872 is a gapful number since it is divisible by the number (12) 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 1022055631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533834327552).

1022055631872 is an abundant number, since it is smaller than the sum of its proper divisors (2045613023232).

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

1022055631872 is a wasteful number, since it uses less digits than its factorization.

1022055631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975726 (or 975708 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 1022055631872 in words is "one trillion, twenty-two billion, fifty-five million, six hundred thirty-one thousand, eight hundred seventy-two".