10718413920 has 576 divisors, whose sum is σ = 39852933120. Its totient is φ = 2617380864.

The previous prime is 10718413907. The next prime is 10718413933. The reversal of 10718413920 is 2931481701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10718413907) and next prime (10718413933).

It is a super-2 number, since 2×10718413920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84396897 + ... + 84397023.

It is an arithmetic number, because the mean of its divisors is an integer number (69189120).

Almost surely, 2^10718413920 is an apocalyptic number.

10718413920 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 10718413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926466560).

10718413920 is an abundant number, since it is smaller than the sum of its proper divisors (29134519200).

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

10718413920 is a wasteful number, since it uses less digits than its factorization.

10718413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

It can be divided in two parts, 107184 and 13920, that added together give a square (121104 = 348²).

The spelling of 10718413920 in words is "ten billion, seven hundred eighteen million, four hundred thirteen thousand, nine hundred twenty".