13152419280 has 1440 divisors, whose sum is σ = 63170956800. Its totient is φ = 2490808320.

The previous prime is 13152419249. The next prime is 13152419281. The reversal of 13152419280 is 8291425131.

13152419280 is a `hidden beast` number, since 13 + 152 + 419 + 2 + 80 = 666.

It is a super-2 number, since 2×13152419280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13152419281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166486281 + ... + 166486359.

It is an arithmetic number, because the mean of its divisors is an integer number (43868720).

Almost surely, 2^13152419280 is an apocalyptic number.

13152419280 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 13152419280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31585478400).

13152419280 is an abundant number, since it is smaller than the sum of its proper divisors (50018537520).

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

13152419280 is a wasteful number, since it uses less digits than its factorization.

13152419280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13152419280 in words is "thirteen billion, one hundred fifty-two million, four hundred nineteen thousand, two hundred eighty".