13054055040 has 256 divisors, whose sum is σ = 49790361600. Its totient is φ = 3213250560.

The previous prime is 13054055033. The next prime is 13054055071. The reversal of 13054055040 is 4055045031.

13054055040 is a `hidden beast` number, since 1 + 30 + 5 + 40 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13054054995 and 13054055013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195585 + ... + 253695.

It is an arithmetic number, because the mean of its divisors is an integer number (194493600).

Almost surely, 2^13054055040 is an apocalyptic number.

13054055040 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 13054055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24895180800).

13054055040 is an abundant number, since it is smaller than the sum of its proper divisors (36736306560).

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

13054055040 is a wasteful number, since it uses less digits than its factorization.

13054055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58152 (or 58134 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 13054055040 in words is "thirteen billion, fifty-four million, fifty-five thousand, forty".