5134603219200 has 3888 divisors, whose sum is σ = 24516083120256. Its totient is φ = 1053455155200.

The previous prime is 5134603219199. The next prime is 5134603219283. The reversal of 5134603219200 is 29123064315.

5134603219200 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 603 + 21 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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 431 ways as a sum of consecutive naturals, for example, 70337030364 + ... + 70337030436.

Almost surely, 2^{5134603219200} is an apocalyptic number.

5134603219200 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 5134603219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12258041560128).

5134603219200 is an abundant number, since it is smaller than the sum of its proper divisors (19381479901056).

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

5134603219200 is a wasteful number, since it uses less digits than its factorization.

5134603219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 5134603219200 in words is "five trillion, one hundred thirty-four billion, six hundred three million, two hundred nineteen thousand, two hundred".