5458716900 has 432 divisors, whose sum is σ = 21729859200. Its totient is φ = 1151055360.

The previous prime is 5458716889. The next prime is 5458716919. The reversal of 5458716900 is 96178545.

5458716900 is a `hidden beast` number, since 5 + 4 + 587 + 1 + 69 + 0 + 0 = 666.

It is a super-2 number, since 2×5458716900² = 59595180388691220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3193246 + ... + 3194954.

It is an arithmetic number, because the mean of its divisors is an integer number (50300600).

Almost surely, 2^5458716900 is an apocalyptic number.

5458716900 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 5458716900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864929600).

5458716900 is an abundant number, since it is smaller than the sum of its proper divisors (16271142300).

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

5458716900 is a wasteful number, since it uses less digits than its factorization.

5458716900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5458716900 is about 73883.1300094954. The cubic root of 5458716900 is about 1760.7465948360.

The spelling of 5458716900 in words is "five billion, four hundred fifty-eight million, seven hundred sixteen thousand, nine hundred".