13752315500 has 216 divisors, whose sum is σ = 38412017280. Its totient is φ = 4285512000.

The previous prime is 13752315481. The next prime is 13752315527. The reversal of 13752315500 is 551325731.

It is a super-2 number, since 2×13752315500² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2962181 + ... + 2966819.

Almost surely, 2^13752315500 is an apocalyptic number.

13752315500 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 13752315500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206008640).

13752315500 is an abundant number, since it is smaller than the sum of its proper divisors (24659701780).

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

13752315500 is a wasteful number, since it uses less digits than its factorization.

13752315500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 32.

The spelling of 13752315500 in words is "thirteen billion, seven hundred fifty-two million, three hundred fifteen thousand, five hundred".