5117455200 has 864 divisors, whose sum is σ = 20860664832. Its totient is φ = 1078272000.

The previous prime is 5117455183. The next prime is 5117455201. The reversal of 5117455200 is 25547115.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117455201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138309582 + ... + 138309618.

It is an arithmetic number, because the mean of its divisors is an integer number (24144288).

Almost surely, 2^5117455200 is an apocalyptic number.

5117455200 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 5117455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10430332416).

5117455200 is an abundant number, since it is smaller than the sum of its proper divisors (15743209632).

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

5117455200 is a wasteful number, since it uses less digits than its factorization.

5117455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 5117455200 is about 71536.3907392594. The cubic root of 5117455200 is about 1723.2621523384.

The spelling of 5117455200 in words is "five billion, one hundred seventeen million, four hundred fifty-five thousand, two hundred".