15111138803712 has 512 divisors, whose sum is σ = 48380457738240. Its totient is φ = 4101754060800.

The previous prime is 15111138803669. The next prime is 15111138803713. The reversal of 15111138803712 is 21730883111151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15111138803713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2389865383 + ... + 2389871705.

It is an arithmetic number, because the mean of its divisors is an integer number (94493081520).

Almost surely, 2^{15111138803712} is an apocalyptic number.

15111138803712 is a gapful number since it is divisible by the number (12) 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 15111138803712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24190228869120).

15111138803712 is an abundant number, since it is smaller than the sum of its proper divisors (33269318934528).

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

15111138803712 is an equidigital number, since it uses as much as digits as its factorization.

15111138803712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6537 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The spelling of 15111138803712 in words is "fifteen trillion, one hundred eleven billion, one hundred thirty-eight million, eight hundred three thousand, seven hundred twelve".