10717334400 has 384 divisors, whose sum is σ = 36754835040. Its totient is φ = 2742681600.

The previous prime is 10717334393. The next prime is 10717334501. The reversal of 10717334400 is 443371701.

10717334400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10717334400² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28732614 + ... + 28732986.

Almost surely, 2^10717334400 is an apocalyptic number.

10717334400 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 10717334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18377417520).

10717334400 is an abundant number, since it is smaller than the sum of its proper divisors (26037500640).

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

10717334400 is a wasteful number, since it uses less digits than its factorization.

10717334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 10717334400 in words is "ten billion, seven hundred seventeen million, three hundred thirty-four thousand, four hundred".