5104137830400 has 576 divisors, whose sum is σ = 20896070676000. Its totient is φ = 1166648279040.

The previous prime is 5104137830399. The next prime is 5104137830419. The reversal of 5104137830400 is 40387314015.

It is a happy number.

5104137830400 is a `hidden beast` number, since 510 + 4 + 1 + 3 + 78 + 30 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51560151 + ... + 51659049.

Almost surely, 2^{5104137830400} is an apocalyptic number.

5104137830400 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 5104137830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448035338000).

5104137830400 is an abundant number, since it is smaller than the sum of its proper divisors (15791932845600).

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

5104137830400 is an equidigital number, since it uses as much as digits as its factorization.

5104137830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98952 (or 98916 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 5104137830400 in words is "five trillion, one hundred four billion, one hundred thirty-seven million, eight hundred thirty thousand, four hundred".