15131140550400 has 432 divisors, whose sum is σ = 60426663945984. Its totient is φ = 3255102013440.

The previous prime is 15131140550399. The next prime is 15131140550401. The reversal of 15131140550400 is 405504113151.

15131140550400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15131140550399) and next prime (15131140550401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15131140550401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026462 + ... + 5596061.

It is an arithmetic number, because the mean of its divisors is an integer number (139876536912).

Almost surely, 2^{15131140550400} is an apocalyptic number.

15131140550400 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 15131140550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30213331972992).

15131140550400 is an abundant number, since it is smaller than the sum of its proper divisors (45295523395584).

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

15131140550400 is a wasteful number, since it uses less digits than its factorization.

15131140550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622576 (or 6622557 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 15131140550400 its reverse (405504113151), we get a palindrome (15536644663551).

The spelling of 15131140550400 in words is "fifteen trillion, one hundred thirty-one billion, one hundred forty million, five hundred fifty thousand, four hundred".