1107503970768 has 400 divisors, whose sum is σ = 3655629774720. Its totient is φ = 320886531072.

The previous prime is 1107503970763. The next prime is 1107503970883. The reversal of 1107503970768 is 8670793057011.

1107503970768 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 503 + 9 + 70 + 7 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107503970763) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53448346 + ... + 53469062.

Almost surely, 2^{1107503970768} is an apocalyptic number.

1107503970768 is a gapful number since it is divisible by the number (18) 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 1107503970768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827814887360).

1107503970768 is an abundant number, since it is smaller than the sum of its proper divisors (2548125803952).

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

1107503970768 is a wasteful number, since it uses less digits than its factorization.

1107503970768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20936 (or 20921 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 1107503970768 in words is "one trillion, one hundred seven billion, five hundred three million, nine hundred seventy thousand, seven hundred sixty-eight".