5375822400 has 567 divisors, whose sum is σ = 21139339611. Its totient is φ = 1295124480.

The previous prime is 5375822381. The next prime is 5375822401. The reversal of 5375822400 is 42285735.

The square root of 5375822400 is 73320.

It is a perfect power (a square), and thus also a powerful number.

5375822400 is a `hidden beast` number, since 5 + 37 + 582 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1385626176 + 3990196224 = 37224^2 + 63168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5375822401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 114379177 + ... + 114379223.

Almost surely, 2^5375822400 is an apocalyptic number.

5375822400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5375822400 is the 73320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5375822400

5375822400 is an abundant number, since it is smaller than the sum of its proper divisors (15763517211).

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

5375822400 is a wasteful number, since it uses less digits than its factorization.

5375822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The cubic root of 5375822400 is about 1751.7883650037.

Multiplying 5375822400 by its sum of digits (36), we get a square (193529606400 = 439920²).

5375822400 divided by its sum of digits (36) gives a square (149328400 = 12220²).

The spelling of 5375822400 in words is "five billion, three hundred seventy-five million, eight hundred twenty-two thousand, four hundred".