5037098400 has 288 divisors, whose sum is σ = 18448819200. Its totient is φ = 1342759680.

The previous prime is 5037098387. The next prime is 5037098401. The reversal of 5037098400 is 48907305.

5037098400 is a `hidden beast` number, since 503 + 70 + 9 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (5037098401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1748161 + ... + 1751039.

It is an arithmetic number, because the mean of its divisors is an integer number (64058400).

Almost surely, 2^5037098400 is an apocalyptic number.

5037098400 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 5037098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9224409600).

5037098400 is an abundant number, since it is smaller than the sum of its proper divisors (13411720800).

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

5037098400 is an equidigital number, since it uses as much as digits as its factorization.

5037098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5037098400 is about 70972.5186251693. The cubic root of 5037098400 is about 1714.1946880239.

The spelling of 5037098400 in words is "five billion, thirty-seven million, ninety-eight thousand, four hundred".