15116930949120 has 2688 divisors, whose sum is σ = 67156224774912. Its totient is φ = 2853804441600.

The previous prime is 15116930949061. The next prime is 15116930949121. The reversal of 15116930949120 is 2194903961151.

It is a tau number, because it is divible by the number of its divisors (2688).

It is not an unprimeable number, because it can be changed into a prime (15116930949121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83518955430 + ... + 83518955610.

It is an arithmetic number, because the mean of its divisors is an integer number (24983714574).

Almost surely, 2^{15116930949120} is an apocalyptic number.

15116930949120 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 15116930949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33578112387456).

15116930949120 is an abundant number, since it is smaller than the sum of its proper divisors (52039293825792).

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

15116930949120 is a wasteful number, since it uses less digits than its factorization.

15116930949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The spelling of 15116930949120 in words is "fifteen trillion, one hundred sixteen billion, nine hundred thirty million, nine hundred forty-nine thousand, one hundred twenty".