13153419072 has 168 divisors, whose sum is σ = 38250156672. Its totient is φ = 4321152000.

The previous prime is 13153419053. The next prime is 13153419091. The reversal of 13153419072 is 27091435131.

13153419072 is a `hidden beast` number, since 1 + 31 + 534 + 1 + 90 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13153419053) and next prime (13153419091).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18092373 + ... + 18093099.

It is an arithmetic number, because the mean of its divisors is an integer number (227679504).

Almost surely, 2^13153419072 is an apocalyptic number.

13153419072 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 13153419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125078336).

13153419072 is an abundant number, since it is smaller than the sum of its proper divisors (25096737600).

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

13153419072 is a wasteful number, since it uses less digits than its factorization.

13153419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13153419072 in words is "thirteen billion, one hundred fifty-three million, four hundred nineteen thousand, seventy-two".