5337172800 has 252 divisors, whose sum is σ = 19170150636. Its totient is φ = 1408204800.

The previous prime is 5337172777. The next prime is 5337172807. The reversal of 5337172800 is 82717335.

5337172800 is a `hidden beast` number, since 5 + 3 + 371 + 7 + 280 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21013056 + 5316159744 = 4584^2 + 72912^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5337172807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1394890 + ... + 1398710.

Almost surely, 2^5337172800 is an apocalyptic number.

5337172800 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 5337172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585075318).

5337172800 is an abundant number, since it is smaller than the sum of its proper divisors (13832977836).

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

5337172800 is a wasteful number, since it uses less digits than its factorization.

5337172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5337172800 is about 73055.9566359924. The cubic root of 5337172800 is about 1747.5800892887.

The spelling of 5337172800 in words is "five billion, three hundred thirty-seven million, one hundred seventy-two thousand, eight hundred".