1076112115488 has 288 divisors, whose sum is σ = 3227644772352. Its totient is φ = 339655680000.

The previous prime is 1076112115471. The next prime is 1076112115489. The reversal of 1076112115488 is 8845112116701.

It is a happy number.

1076112115488 is a `hidden beast` number, since 1 + 0 + 7 + 611 + 21 + 1 + 5 + 4 + 8 + 8 = 666.

1076112115488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1076112115489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82764988 + ... + 82777988.

It is an arithmetic number, because the mean of its divisors is an integer number (11207099904).

Almost surely, 2^{1076112115488} is an apocalyptic number.

1076112115488 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 1076112115488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613822386176).

1076112115488 is an abundant number, since it is smaller than the sum of its proper divisors (2151532656864).

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

1076112115488 is a wasteful number, since it uses less digits than its factorization.

1076112115488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13248 (or 13237 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 1076112115488 in words is "one trillion, seventy-six billion, one hundred twelve million, one hundred fifteen thousand, four hundred eighty-eight".