5133048854400 has 288 divisors, whose sum is σ = 18487082320200. Its totient is φ = 1356019568640.

The previous prime is 5133048854389. The next prime is 5133048854407. The reversal of 5133048854400 is 44588403315.

5133048854400 is a `hidden beast` number, since 51 + 3 + 30 + 488 + 54 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133048854407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2248746 + ... + 3914454.

Almost surely, 2^{5133048854400} is an apocalyptic number.

5133048854400 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 5133048854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243541160100).

5133048854400 is an abundant number, since it is smaller than the sum of its proper divisors (13354033465800).

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

5133048854400 is a wasteful number, since it uses less digits than its factorization.

5133048854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665846 (or 1665826 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5133048854400 in words is "five trillion, one hundred thirty-three billion, forty-eight million, eight hundred fifty-four thousand, four hundred".