5135654080800 has 1440 divisors, whose sum is σ = 20235727955520. Its totient is φ = 1263519129600.

The previous prime is 5135654080763. The next prime is 5135654080811. The reversal of 5135654080800 is 80804565315.

5135654080800 is a `hidden beast` number, since 5 + 1 + 3 + 565 + 4 + 0 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13768509414 + ... + 13768509786.

It is an arithmetic number, because the mean of its divisors is an integer number (14052588858).

Almost surely, 2^{5135654080800} is an apocalyptic number.

5135654080800 is a gapful number since it is divisible by the number (50) 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 5135654080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10117863977760).

5135654080800 is an abundant number, since it is smaller than the sum of its proper divisors (15100073874720).

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

5135654080800 is a wasteful number, since it uses less digits than its factorization.

5135654080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5135654080800 in words is "five trillion, one hundred thirty-five billion, six hundred fifty-four million, eighty thousand, eight hundred".