1116588215400 has 288 divisors, whose sum is σ = 4120199281440. Its totient is φ = 249284528640.

The previous prime is 1116588215363. The next prime is 1116588215411. The reversal of 1116588215400 is 45128856111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 822582 + ... + 1705818.

It is an arithmetic number, because the mean of its divisors is an integer number (14306247505).

Almost surely, 2^{1116588215400} is an apocalyptic number.

1116588215400 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 1116588215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060099640720).

1116588215400 is an abundant number, since it is smaller than the sum of its proper divisors (3003611066040).

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

1116588215400 is a wasteful number, since it uses less digits than its factorization.

1116588215400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883313 (or 883297 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The spelling of 1116588215400 in words is "one trillion, one hundred sixteen billion, five hundred eighty-eight million, two hundred fifteen thousand, four hundred".