4955607820800 has 5760 divisors, whose sum is σ = 25672733982720. Its totient is φ = 910924185600.

The previous prime is 4955607820799. The next prime is 4955607820829. The reversal of 4955607820800 is 80287065594.

4955607820800 is a `hidden beast` number, since 4 + 9 + 5 + 5 + 607 + 8 + 20 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 159858316785 + ... + 159858316815.

It is an arithmetic number, because the mean of its divisors is an integer number (4457071872).

Almost surely, 2^{4955607820800} is an apocalyptic number.

4955607820800 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 4955607820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12836366991360).

4955607820800 is an abundant number, since it is smaller than the sum of its proper divisors (20717126161920).

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

4955607820800 is a wasteful number, since it uses less digits than its factorization.

4955607820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 4955607820800 in words is "four trillion, nine hundred fifty-five billion, six hundred seven million, eight hundred twenty thousand, eight hundred".