13054772160 has 448 divisors, whose sum is σ = 47900173440. Its totient is φ = 3344302080.

The previous prime is 13054772053. The next prime is 13054772189. The reversal of 13054772160 is 6127745031.

It is a happy number.

13054772160 is a `hidden beast` number, since 1 + 30 + 547 + 7 + 21 + 60 = 666.

It is a super-2 number, since 2×13054772160² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31008750 + ... + 31009170.

It is an arithmetic number, because the mean of its divisors is an integer number (106920030).

Almost surely, 2^13054772160 is an apocalyptic number.

13054772160 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 13054772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950086720).

13054772160 is an abundant number, since it is smaller than the sum of its proper divisors (34845401280).

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

13054772160 is a wasteful number, since it uses less digits than its factorization.

13054772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13054772160 in words is "thirteen billion, fifty-four million, seven hundred seventy-two thousand, one hundred sixty".