5955028800 has 336 divisors, whose sum is σ = 22790505600. Its totient is φ = 1360773120.

The previous prime is 5955028799. The next prime is 5955028841. The reversal of 5955028800 is 88205595.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×5955028800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1644592 + ... + 1648208.

Almost surely, 2^5955028800 is an apocalyptic number.

5955028800 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 5955028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11395252800).

5955028800 is an abundant number, since it is smaller than the sum of its proper divisors (16835476800).

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

5955028800 is a wasteful number, since it uses less digits than its factorization.

5955028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 5955028800 is about 77168.8330869400. The cubic root of 5955028800 is about 1812.5693088043.

The spelling of 5955028800 in words is "five billion, nine hundred fifty-five million, twenty-eight thousand, eight hundred".