5738852134400 has 1440 divisors, whose sum is σ = 18791818746624. Its totient is φ = 1686749184000.

The previous prime is 5738852134391. The next prime is 5738852134409. The reversal of 5738852134400 is 44312588375.

It is an interprime number because it is at equal distance from previous prime (5738852134391) and next prime (5738852134409).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5738852134409) 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, 69142796759 + ... + 69142796841.

Almost surely, 2^{5738852134400} is an apocalyptic number.

5738852134400 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 5738852134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395909373312).

5738852134400 is an abundant number, since it is smaller than the sum of its proper divisors (13052966612224).

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

5738852134400 is a wasteful number, since it uses less digits than its factorization.

5738852134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 50.

The spelling of 5738852134400 in words is "five trillion, seven hundred thirty-eight billion, eight hundred fifty-two million, one hundred thirty-four thousand, four hundred".