4953160800 has 1152 divisors, whose sum is σ = 22678548480. Its totient is φ = 1017446400.

The previous prime is 4953160799. The next prime is 4953160813. The reversal of 4953160800 is 80613594.

4953160800 is a `hidden beast` number, since 49 + 5 + 3 + 1 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105386377 + ... + 105386423.

It is an arithmetic number, because the mean of its divisors is an integer number (19686240).

Almost surely, 2^4953160800 is an apocalyptic number.

4953160800 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 4953160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339274240).

4953160800 is an abundant number, since it is smaller than the sum of its proper divisors (17725387680).

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

4953160800 is a wasteful number, since it uses less digits than its factorization.

4953160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4953160800 is about 70378.6956400870. The cubic root of 4953160800 is about 1704.6195921790.

The spelling of 4953160800 in words is "four billion, nine hundred fifty-three million, one hundred sixty thousand, eight hundred".