10424808722700 has 432 divisors, whose sum is σ = 35342820414720. Its totient is φ = 2561192317440.

The previous prime is 10424808722683. The next prime is 10424808722701. The reversal of 10424808722700 is 722780842401.

10424808722700 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 480 + 87 + 22 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10424808722701) 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, 2433994759 + ... + 2433999041.

Almost surely, 2^{10424808722700} is an apocalyptic number.

10424808722700 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 10424808722700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17671410207360).

10424808722700 is an abundant number, since it is smaller than the sum of its proper divisors (24918011692020).

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

10424808722700 is a wasteful number, since it uses less digits than its factorization.

10424808722700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 10424808722700 in words is "ten trillion, four hundred twenty-four billion, eight hundred eight million, seven hundred twenty-two thousand, seven hundred".