15130292338392 has 384 divisors, whose sum is σ = 50213610823680. Its totient is φ = 3690134784000.

The previous prime is 15130292338349. The next prime is 15130292338393. The reversal of 15130292338392 is 29383329203151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15130292338393) 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, 230152167 + ... + 230217897.

It is an arithmetic number, because the mean of its divisors is an integer number (130764611520).

Almost surely, 2^{15130292338392} is an apocalyptic number.

15130292338392 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 15130292338392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25106805411840).

15130292338392 is an abundant number, since it is smaller than the sum of its proper divisors (35083318485288).

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

15130292338392 is a wasteful number, since it uses less digits than its factorization.

15130292338392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66223 (or 66202 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 15130292338392 in words is "fifteen trillion, one hundred thirty billion, two hundred ninety-two million, three hundred thirty-eight thousand, three hundred ninety-two".