10716111840 has 288 divisors, whose sum is σ = 41578264224. Its totient is φ = 2305228800.

The previous prime is 10716111793. The next prime is 10716111851. The reversal of 10716111840 is 4811161701.

It is a super-2 number, since 2×10716111840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10716111798 and 10716111807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386440 + ... + 413240.

It is an arithmetic number, because the mean of its divisors is an integer number (144368973).

Almost surely, 2^10716111840 is an apocalyptic number.

10716111840 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 10716111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20789132112).

10716111840 is an abundant number, since it is smaller than the sum of its proper divisors (30862152384).

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

10716111840 is a wasteful number, since it uses less digits than its factorization.

10716111840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26850 (or 26835 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 30.

The spelling of 10716111840 in words is "ten billion, seven hundred sixteen million, one hundred eleven thousand, eight hundred forty".