10718736000 has 1024 divisors, whose sum is σ = 45215539200. Its totient is φ = 2189721600.

The previous prime is 10718735971. The next prime is 10718736031. The reversal of 10718736000 is 63781701.

It is a super-2 number, since 2×10718736000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146831964 + ... + 146832036.

It is an arithmetic number, because the mean of its divisors is an integer number (44155800).

Almost surely, 2^10718736000 is an apocalyptic number.

10718736000 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 10718736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22607769600).

10718736000 is an abundant number, since it is smaller than the sum of its proper divisors (34496803200).

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

10718736000 is a wasteful number, since it uses less digits than its factorization.

10718736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 10718736000 in words is "ten billion, seven hundred eighteen million, seven hundred thirty-six thousand".