13050096364800 has 540 divisors, whose sum is σ = 52638734613696. Its totient is φ = 3163658342400.

The previous prime is 13050096364793. The next prime is 13050096364853. The reversal of 13050096364800 is 846369005031.

13050096364800 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 0 + 0 + 9 + 636 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 4558137 + ... + 6846663.

Almost surely, 2^{13050096364800} is an apocalyptic number.

13050096364800 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 13050096364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26319367306848).

13050096364800 is an abundant number, since it is smaller than the sum of its proper divisors (39588638248896).

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

13050096364800 is a wasteful number, since it uses less digits than its factorization.

13050096364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288576 (or 2288548 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13050096364800 in words is "thirteen trillion, fifty billion, ninety-six million, three hundred sixty-four thousand, eight hundred".