5273473766400 has 3960 divisors, whose sum is σ = 24957290863296. Its totient is φ = 1092472012800.

The previous prime is 5273473766389. The next prime is 5273473766401. The reversal of 5273473766400 is 46673743725.

5273473766400 is a `hidden beast` number, since 5 + 2 + 73 + 473 + 7 + 66 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5273473766401) 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 359 ways as a sum of consecutive naturals, for example, 74274278365 + ... + 74274278435.

Almost surely, 2^{5273473766400} is an apocalyptic number.

5273473766400 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 5273473766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478645431648).

5273473766400 is an abundant number, since it is smaller than the sum of its proper divisors (19683817096896).

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

5273473766400 is a wasteful number, since it uses less digits than its factorization.

5273473766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 54.

The spelling of 5273473766400 in words is "five trillion, two hundred seventy-three billion, four hundred seventy-three million, seven hundred sixty-six thousand, four hundred".