5073288710400 has 324 divisors, whose sum is σ = 18280998607872. Its totient is φ = 1342222479360.

The previous prime is 5073288710351. The next prime is 5073288710443. The reversal of 5073288710400 is 40178823705.

5073288710400 is a `hidden beast` number, since 507 + 3 + 28 + 87 + 1 + 0 + 40 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6968437 + ... + 7661963.

Almost surely, 2^{5073288710400} is an apocalyptic number.

5073288710400 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 5073288710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140499303936).

5073288710400 is an abundant number, since it is smaller than the sum of its proper divisors (13207709897472).

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

5073288710400 is a wasteful number, since it uses less digits than its factorization.

5073288710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693686 (or 693664 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 5073288710400 in words is "five trillion, seventy-three billion, two hundred eighty-eight million, seven hundred ten thousand, four hundred".