1162779680000 has 360 divisors, whose sum is σ = 2992655699880. Its totient is φ = 450478080000.

The previous prime is 1162779679973. The next prime is 1162779680009. The reversal of 1162779680000 is 869772611.

It can be written as a sum of positive squares in 20 ways, for example, as 871041423616 + 291738256384 = 933296^2 + 540128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1162779680009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1029919436 + ... + 1029920564.

Almost surely, 2^{1162779680000} is an apocalyptic number.

1162779680000 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 1162779680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496327849940).

1162779680000 is an abundant number, since it is smaller than the sum of its proper divisors (1829876019880).

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

1162779680000 is an equidigital number, since it uses as much as digits as its factorization.

1162779680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 1162779680000 in words is "one trillion, one hundred sixty-two billion, seven hundred seventy-nine million, six hundred eighty thousand".