10013915299500 has 288 divisors, whose sum is σ = 36290589439104. Its totient is φ = 2277033984000.

The previous prime is 10013915299457. The next prime is 10013915299501. The reversal of 10013915299500 is 599251931001.

10013915299500 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 9 + 1 + 52 + 99 + 500 = 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 (10013915299501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5255920 + ... + 6903080.

It is an arithmetic number, because the mean of its divisors is an integer number (126008991108).

Almost surely, 2^{10013915299500} is an apocalyptic number.

10013915299500 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 10013915299500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18145294719552).

10013915299500 is an abundant number, since it is smaller than the sum of its proper divisors (26276674139604).

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

10013915299500 is a wasteful number, since it uses less digits than its factorization.

10013915299500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647386 (or 1647371 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 45.

The spelling of 10013915299500 in words is "ten trillion, thirteen billion, nine hundred fifteen million, two hundred ninety-nine thousand, five hundred".