1115863356960 has 768 divisors, whose sum is σ = 4418241085440. Its totient is φ = 260582400000.

The previous prime is 1115863356931. The next prime is 1115863356977. The reversal of 1115863356960 is 696533685111.

1115863356960 is a `hidden beast` number, since 1 + 1 + 1 + 586 + 3 + 3 + 56 + 9 + 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 = 1115863356897 and 1115863356906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 343235335 + ... + 343238585.

It is an arithmetic number, because the mean of its divisors is an integer number (5752918080).

Almost surely, 2^{1115863356960} is an apocalyptic number.

1115863356960 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 1115863356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209120542720).

1115863356960 is an abundant number, since it is smaller than the sum of its proper divisors (3302377728480).

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

1115863356960 is a wasteful number, since it uses less digits than its factorization.

1115863356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1115863356960 in words is "one trillion, one hundred fifteen billion, eight hundred sixty-three million, three hundred fifty-six thousand, nine hundred sixty".