10718416800 has 1728 divisors, whose sum is σ = 52365398400. Its totient is φ = 2090188800.

The previous prime is 10718416769. The next prime is 10718416823. The reversal of 10718416800 is 861481701.

It is a super-2 number, since 2×10718416800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 261424780 + ... + 261424820.

It is an arithmetic number, because the mean of its divisors is an integer number (30304050).

Almost surely, 2^10718416800 is an apocalyptic number.

10718416800 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 10718416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26182699200).

10718416800 is an abundant number, since it is smaller than the sum of its proper divisors (41646981600).

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

10718416800 is a wasteful number, since it uses less digits than its factorization.

10718416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 10718416800 in words is "ten billion, seven hundred eighteen million, four hundred sixteen thousand, eight hundred".