1055225217280 has 144 divisors (see below), whose sum is σ = 2773385742960. Its totient is φ = 382269947904.

The previous prime is 1055225217229. The next prime is 1055225217301. The reversal of 1055225217280 is 827125225501.

It can be written as a sum of positive squares in 8 ways, for example, as 34995933184 + 1020229284096 = 187072^2 + 1010064^2 .

It is a super-2 number, since 2×1055225217280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283666 + ... + 1480174.

It is an arithmetic number, because the mean of its divisors is an integer number (19259623215).

Almost surely, 2^{1055225217280} is an apocalyptic number.

1055225217280 is a gapful number since it is divisible by the number (10) 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 1055225217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386692871480).

1055225217280 is an abundant number, since it is smaller than the sum of its proper divisors (1718160525680).

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

1055225217280 is a wasteful number, since it uses less digits than its factorization.

1055225217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196596 (or 1196582 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The spelling of 1055225217280 in words is "one trillion, fifty-five billion, two hundred twenty-five million, two hundred seventeen thousand, two hundred eighty".