5164578234900 has 1944 divisors, whose sum is σ = 21516312242880. Its totient is φ = 1011278131200.

The previous prime is 5164578234863. The next prime is 5164578234911. The reversal of 5164578234900 is 94328754615.

It is a happy number.

5164578234900 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 578 + 23 + 49 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 37155239031 + ... + 37155239169.

It is a 1-persistent number, because it is pandigital, but 2⋅5164578234900 = 10329156469800 is not.

Almost surely, 2^{5164578234900} is an apocalyptic number.

5164578234900 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 5164578234900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758156121440).

5164578234900 is an abundant number, since it is smaller than the sum of its proper divisors (16351734007980).

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

5164578234900 is a wasteful number, since it uses less digits than its factorization.

5164578234900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5164578234900 in words is "five trillion, one hundred sixty-four billion, five hundred seventy-eight million, two hundred thirty-four thousand, nine hundred".