10024716000000 has 1008 divisors, whose sum is σ = 36216661420800. Its totient is φ = 2447001600000.

The previous prime is 10024715999981. The next prime is 10024716000119. The reversal of 10024716000000 is 61742001.

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 111 ways as a sum of consecutive naturals, for example, 27923999821 + ... + 27924000179.

It is an arithmetic number, because the mean of its divisors is an integer number (35929227600).

Almost surely, 2^{10024716000000} is an apocalyptic number.

10024716000000 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 10024716000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18108330710400).

10024716000000 is an abundant number, since it is smaller than the sum of its proper divisors (26191945420800).

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

10024716000000 is an frugal number, since it uses more digits than its factorization.

10024716000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 10024716000000 its reverse (61742001), we get a palindrome (10024777742001).

The spelling of 10024716000000 in words is "ten trillion, twenty-four billion, seven hundred sixteen million", and thus it is an aban number.