13253628780 has 288 divisors, whose sum is σ = 48176856000. Its totient is φ = 3016065024.

The previous prime is 13253628779. The next prime is 13253628781. The reversal of 13253628780 is 8782635231.

13253628780 is a `hidden beast` number, since 1 + 32 + 536 + 2 + 8 + 7 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13253628779) and next prime (13253628781).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13253628781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6799246 + ... + 6801194.

It is an arithmetic number, because the mean of its divisors is an integer number (167280750).

Almost surely, 2^13253628780 is an apocalyptic number.

13253628780 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 13253628780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24088428000).

13253628780 is an abundant number, since it is smaller than the sum of its proper divisors (34923227220).

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

13253628780 is a wasteful number, since it uses less digits than its factorization.

13253628780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13253628780 in words is "thirteen billion, two hundred fifty-three million, six hundred twenty-eight thousand, seven hundred eighty".