4958553600 has 1440 divisors, whose sum is σ = 24379939584. Its totient is φ = 928972800.

The previous prime is 4958553529. The next prime is 4958553619. The reversal of 4958553600 is 63558594.

4958553600 is a `hidden beast` number, since 4 + 9 + 585 + 5 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 115315179 + ... + 115315221.

Almost surely, 2^4958553600 is an apocalyptic number.

4958553600 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 4958553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189969792).

4958553600 is an abundant number, since it is smaller than the sum of its proper divisors (19421385984).

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

4958553600 is a wasteful number, since it uses less digits than its factorization.

4958553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 4958553600 is about 70416.9979479387. The cubic root of 4958553600 is about 1705.2380079558.

The spelling of 4958553600 in words is "four billion, nine hundred fifty-eight million, five hundred fifty-three thousand, six hundred".