13054625496000 has 2240 divisors, whose sum is σ = 54128032358400. Its totient is φ = 3079544832000.

The previous prime is 13054625495993. The next prime is 13054625496131. The reversal of 13054625496000 is 69452645031.

13054625496000 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 46 + 2 + 549 + 60 + 0 + 0 = 666.

13054625496000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 54621863881 + ... + 54621864119.

It is an arithmetic number, because the mean of its divisors is an integer number (24164300160).

Almost surely, 2^{13054625496000} is an apocalyptic number.

13054625496000 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 13054625496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27064016179200).

13054625496000 is an abundant number, since it is smaller than the sum of its proper divisors (41073406862400).

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

13054625496000 is a wasteful number, since it uses less digits than its factorization.

13054625496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13054625496000 in words is "thirteen trillion, fifty-four billion, six hundred twenty-five million, four hundred ninety-six thousand".