545658220800 has 1296 divisors, whose sum is σ = 2575658397312. Its totient is φ = 106699161600.

The previous prime is 545658220733. The next prime is 545658220831. The reversal of 545658220800 is 8022856545.

It is a happy number.

545658220800 is a `hidden beast` number, since 5 + 4 + 565 + 8 + 2 + 2 + 0 + 80 + 0 = 666.

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

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, 75394782 + ... + 75402018.

Almost surely, 2^545658220800 is an apocalyptic number.

545658220800 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 545658220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287829198656).

545658220800 is an abundant number, since it is smaller than the sum of its proper divisors (2030000176512).

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

545658220800 is a wasteful number, since it uses less digits than its factorization.

545658220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7304 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 545658220800 in words is "five hundred forty-five billion, six hundred fifty-eight million, two hundred twenty thousand, eight hundred".