1772226293760 has 1456 divisors, whose sum is σ = 7183410542784. Its totient is φ = 416222281728.

The previous prime is 1772226293759. The next prime is 1772226293833. The reversal of 1772226293760 is 673926222771.

It is a happy number.

1772226293760 is a `hidden beast` number, since 1 + 7 + 7 + 2 + 2 + 2 + 629 + 3 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1772226293697 and 1772226293706.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4464045882 + ... + 4464046278.

Almost surely, 2^{1772226293760} is an apocalyptic number.

1772226293760 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 1772226293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591705271392).

1772226293760 is an abundant number, since it is smaller than the sum of its proper divisors (5411184249024).

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

1772226293760 is an equidigital number, since it uses as much as digits as its factorization.

1772226293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 1772226293760 in words is "one trillion, seven hundred seventy-two billion, two hundred twenty-six million, two hundred ninety-three thousand, seven hundred sixty".