10716274800 has 720 divisors, whose sum is σ = 47138387712. Its totient is φ = 2189721600.

The previous prime is 10716274783. The next prime is 10716274801. The reversal of 10716274800 is 847261701.

10716274800 is a `hidden beast` number, since 10 + 7 + 162 + 7 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10716274800² (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 not an unprimeable number, because it can be changed into a prime (10716274801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18572112 + ... + 18572688.

Almost surely, 2^10716274800 is an apocalyptic number.

10716274800 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 10716274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569193856).

10716274800 is an abundant number, since it is smaller than the sum of its proper divisors (36422112912).

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

10716274800 is a wasteful number, since it uses less digits than its factorization.

10716274800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10716274800 in words is "ten billion, seven hundred sixteen million, two hundred seventy-four thousand, eight hundred".