4891395600 has 1080 divisors, whose sum is σ = 22331487360. Its totient is φ = 1018967040.

The previous prime is 4891395517. The next prime is 4891395611. The reversal of 4891395600 is 65931984.

It is a happy number.

4891395600 is a `hidden beast` number, since 4 + 8 + 9 + 1 + 39 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 61916361 + ... + 61916439.

Almost surely, 2^4891395600 is an apocalyptic number.

4891395600 is a gapful number since it is divisible by the number (40) 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 4891395600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165743680).

4891395600 is an abundant number, since it is smaller than the sum of its proper divisors (17440091760).

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

4891395600 is a wasteful number, since it uses less digits than its factorization.

4891395600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4891395600 is about 69938.5129953447. The cubic root of 4891395600 is about 1697.5044815129.

The spelling of 4891395600 in words is "four billion, eight hundred ninety-one million, three hundred ninety-five thousand, six hundred".