13230038787552 has 144 divisors (see below), whose sum is σ = 39024380474352. Its totient is φ = 4409106877440.

The previous prime is 13230038787517. The next prime is 13230038787569. The reversal of 13230038787552 is 25578783003231.

13230038787552 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 0 + 3 + 8 + 7 + 87 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 38217802 + ... + 38562422.

It is an arithmetic number, because the mean of its divisors is an integer number (271002642183).

Almost surely, 2^{13230038787552} is an apocalyptic number.

13230038787552 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 13230038787552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512190237176).

13230038787552 is an abundant number, since it is smaller than the sum of its proper divisors (25794341686800).

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

13230038787552 is an equidigital number, since it uses as much as digits as its factorization.

13230038787552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349583 (or 349563 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 13230038787552 in words is "thirteen trillion, two hundred thirty billion, thirty-eight million, seven hundred eighty-seven thousand, five hundred fifty-two".