13138751357550 has 384 divisors, whose sum is σ = 44569497369600. Its totient is φ = 2771507612160.

The previous prime is 13138751357549. The next prime is 13138751357603. The reversal of 13138751357550 is 5575315783131.

13138751357550 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 8 + 7 + 5 + 13 + 575 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 720751836 + ... + 720770064.

It is an arithmetic number, because the mean of its divisors is an integer number (116066399400).

Almost surely, 2^{13138751357550} is an apocalyptic number.

13138751357550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13138751357550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284748684800).

13138751357550 is an abundant number, since it is smaller than the sum of its proper divisors (31430746012050).

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

13138751357550 is a wasteful number, since it uses less digits than its factorization.

13138751357550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24137 (or 24126 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The spelling of 13138751357550 in words is "thirteen trillion, one hundred thirty-eight billion, seven hundred fifty-one million, three hundred fifty-seven thousand, five hundred fifty".