5173776000 has 768 divisors, whose sum is σ = 20520115200. Its totient is φ = 1244160000.

The previous prime is 5173775983. The next prime is 5173776007. The reversal of 5173776000 is 6773715.

5173776000 is a `hidden beast` number, since 5 + 17 + 37 + 7 + 600 + 0 = 666.

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 (5173776007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84815970 + ... + 84816030.

It is an arithmetic number, because the mean of its divisors is an integer number (26718900).

Almost surely, 2^5173776000 is an apocalyptic number.

5173776000 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 5173776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260057600).

5173776000 is an abundant number, since it is smaller than the sum of its proper divisors (15346339200).

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

5173776000 is a wasteful number, since it uses less digits than its factorization.

5173776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 5173776000 is about 71928.9649584922. The cubic root of 5173776000 is about 1729.5609609058.

The spelling of 5173776000 in words is "five billion, one hundred seventy-three million, seven hundred seventy-six thousand".