10711112004 has 192 divisors, whose sum is σ = 30276449280. Its totient is φ = 3261565440.

The previous prime is 10711111993. The next prime is 10711112053. The reversal of 10711112004 is 40021111701.

It is a super-2 number, since 2×10711112004² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16657707 + ... + 16658349.

It is an arithmetic number, because the mean of its divisors is an integer number (157689840).

Almost surely, 2^10711112004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10711112004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15138224640).

10711112004 is an abundant number, since it is smaller than the sum of its proper divisors (19565337276).

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

10711112004 is a wasteful number, since it uses less digits than its factorization.

10711112004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 10711112004 its reverse (40021111701), we get a palindrome (50732223705).

The spelling of 10711112004 in words is "ten billion, seven hundred eleven million, one hundred twelve thousand, four".