1115671265280 has 1728 divisors, whose sum is σ = 4727747065860. Its totient is φ = 242913116160.

The previous prime is 1115671265239. The next prime is 1115671265309. The reversal of 1115671265280 is 825621765111.

1115671265280 is a `hidden beast` number, since 1 + 1 + 1 + 56 + 71 + 2 + 6 + 528 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 306189582336 + 809481682944 = 553344^2 + 899712^2 .

It is a super-2 number, since 2×1115671265280² (a number of 25 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 30153277422 + ... + 30153277458.

Almost surely, 2^{1115671265280} is an apocalyptic number.

1115671265280 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 1115671265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363873532930).

1115671265280 is an abundant number, since it is smaller than the sum of its proper divisors (3612075800580).

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

1115671265280 is a wasteful number, since it uses less digits than its factorization.

1115671265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1115671265280 in words is "one trillion, one hundred fifteen billion, six hundred seventy-one million, two hundred sixty-five thousand, two hundred eighty".