545787460800 has 840 divisors, whose sum is σ = 2104046689536. Its totient is φ = 138509015040.

The previous prime is 545787460759. The next prime is 545787460817. The reversal of 545787460800 is 8064787545.

545787460800 is a `hidden beast` number, since 5 + 4 + 578 + 7 + 4 + 60 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 843566077 + ... + 843566723.

Almost surely, 2^545787460800 is an apocalyptic number.

545787460800 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 545787460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052023344768).

545787460800 is an abundant number, since it is smaller than the sum of its proper divisors (1558259228736).

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

545787460800 is a wasteful number, since it uses less digits than its factorization.

545787460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 545787460800 in words is "five hundred forty-five billion, seven hundred eighty-seven million, four hundred sixty thousand, eight hundred".