10239984991500 has 1152 divisors, whose sum is σ = 36288624153600. Its totient is φ = 2217715200000.

The previous prime is 10239984991487. The next prime is 10239984991501. The reversal of 10239984991500 is 519948993201.

It is a super-2 number, since 2×10239984991500² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (10239984991501) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12352213086 + ... + 12352213914.

It is an arithmetic number, because the mean of its divisors is an integer number (31500541800).

Almost surely, 2^{10239984991500} is an apocalyptic number.

10239984991500 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 10239984991500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144312076800).

10239984991500 is an abundant number, since it is smaller than the sum of its proper divisors (26048639162100).

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

10239984991500 is a wasteful number, since it uses less digits than its factorization.

10239984991500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 60.

The spelling of 10239984991500 in words is "ten trillion, two hundred thirty-nine billion, nine hundred eighty-four million, nine hundred ninety-one thousand, five hundred".