545695123200 has 432 divisors, whose sum is σ = 1842767055360. Its totient is φ = 142160445440.

The previous prime is 545695123199. The next prime is 545695123201. The reversal of 545695123200 is 2321596545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (545695123199) and next prime (545695123201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545695123201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267627781 + ... + 267629819.

It is an arithmetic number, because the mean of its divisors is an integer number (4265664480).

Almost surely, 2^545695123200 is an apocalyptic number.

545695123200 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 545695123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921383527680).

545695123200 is an abundant number, since it is smaller than the sum of its proper divisors (1297071932160).

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

545695123200 is a wasteful number, since it uses less digits than its factorization.

545695123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 545695123200 in words is "five hundred forty-five billion, six hundred ninety-five million, one hundred twenty-three thousand, two hundred".