13752685412500 has 72 divisors (see below), whose sum is σ = 30085089102936. Its totient is φ = 5500522800000.

The previous prime is 13752685412449. The next prime is 13752685412503. The reversal of 13752685412500 is 521458625731.

It can be written as a sum of positive squares in 12 ways, for example, as 13343210842896 + 409474569604 = 3652836^2 + 639902^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13752685412503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138612910 + ... + 138712090.

It is an arithmetic number, because the mean of its divisors is an integer number (417848459763).

Almost surely, 2^{13752685412500} is an apocalyptic number.

13752685412500 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 13752685412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15042544551468).

13752685412500 is an abundant number, since it is smaller than the sum of its proper divisors (16332403690436).

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

13752685412500 is an equidigital number, since it uses as much as digits as its factorization.

13752685412500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110303 (or 110281 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 13752685412500 in words is "thirteen trillion, seven hundred fifty-two billion, six hundred eighty-five million, four hundred twelve thousand, five hundred".