1022288117760 has 1200 divisors, whose sum is σ = 4513409414976. Its totient is φ = 215564156928.

The previous prime is 1022288117731. The next prime is 1022288117791. The reversal of 1022288117760 is 677118822201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 603831474 + ... + 603833166.

Almost surely, 2^{1022288117760} is an apocalyptic number.

1022288117760 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 1022288117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256704707488).

1022288117760 is an abundant number, since it is smaller than the sum of its proper divisors (3491121297216).

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

1022288117760 is an equidigital number, since it uses as much as digits as its factorization.

1022288117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1022288117760 in words is "one trillion, twenty-two billion, two hundred eighty-eight million, one hundred seventeen thousand, seven hundred sixty".