5073732518400 has 2880 divisors, whose sum is σ = 24578133148800. Its totient is φ = 1013323530240.

The previous prime is 5073732518321. The next prime is 5073732518423. The reversal of 5073732518400 is 48152373705.

5073732518400 is a `hidden beast` number, since 507 + 3 + 73 + 25 + 18 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4182796194 + ... + 4182797406.

It is an arithmetic number, because the mean of its divisors is an integer number (8534074010).

Almost surely, 2^{5073732518400} is an apocalyptic number.

5073732518400 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 5073732518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289066574400).

5073732518400 is an abundant number, since it is smaller than the sum of its proper divisors (19504400630400).

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

5073732518400 is a wasteful number, since it uses less digits than its factorization.

5073732518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 5073732518400 in words is "five trillion, seventy-three billion, seven hundred thirty-two million, five hundred eighteen thousand, four hundred".