1117642582710 has 256 divisors, whose sum is σ = 3185509662720. Its totient is φ = 278168204160.

The previous prime is 1117642582697. The next prime is 1117642582711. The reversal of 1117642582710 is 172852467111.

1117642582710 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 64 + 2 + 582 + 7 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117642582711) by changing a digit.

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, 418434675 + ... + 418437345.

It is an arithmetic number, because the mean of its divisors is an integer number (12443397120).

Almost surely, 2^{1117642582710} is an apocalyptic number.

1117642582710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117642582710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592754831360).

1117642582710 is an abundant number, since it is smaller than the sum of its proper divisors (2067867080010).

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

1117642582710 is a wasteful number, since it uses less digits than its factorization.

1117642582710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1117642582710 in words is "one trillion, one hundred seventeen billion, six hundred forty-two million, five hundred eighty-two thousand, seven hundred ten".