5360174400 has 336 divisors, whose sum is σ = 20794919040. Its totient is φ = 1182720000.

The previous prime is 5360174389. The next prime is 5360174437. The reversal of 5360174400 is 44710635.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971650 + ... + 977150.

It is an arithmetic number, because the mean of its divisors is an integer number (61889640).

Almost surely, 2^5360174400 is an apocalyptic number.

5360174400 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 5360174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10397459520).

5360174400 is an abundant number, since it is smaller than the sum of its proper divisors (15434744640).

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

5360174400 is a wasteful number, since it uses less digits than its factorization.

5360174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5360174400 is about 73213.2119224392. The cubic root of 5360174400 is about 1750.0870051981.

The spelling of 5360174400 in words is "five billion, three hundred sixty million, one hundred seventy-four thousand, four hundred".