5383727492400 has 720 divisors, whose sum is σ = 19496755699200. Its totient is φ = 1374064957440.

The previous prime is 5383727492321. The next prime is 5383727492401. The reversal of 5383727492400 is 42947273835.

It is a happy number.

5383727492400 is a `hidden beast` number, since 5 + 3 + 83 + 7 + 2 + 74 + 92 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (5383727492401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8697459291 + ... + 8697459909.

It is an arithmetic number, because the mean of its divisors is an integer number (27078827360).

Almost surely, 2^{5383727492400} is an apocalyptic number.

5383727492400 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 5383727492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9748377849600).

5383727492400 is an abundant number, since it is smaller than the sum of its proper divisors (14113028206800).

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

5383727492400 is a wasteful number, since it uses less digits than its factorization.

5383727492400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 5383727492400 in words is "five trillion, three hundred eighty-three billion, seven hundred twenty-seven million, four hundred ninety-two thousand, four hundred".