545941036800 has 540 divisors, whose sum is σ = 2038774338216. Its totient is φ = 144129024000.

The previous prime is 545941036769. The next prime is 545941036831. The reversal of 545941036800 is 8630149545.

545941036800 is a `hidden beast` number, since 54 + 594 + 1 + 0 + 3 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (545941036769) and next prime (545941036831).

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52353187 + ... + 52363613.

Almost surely, 2^545941036800 is an apocalyptic number.

545941036800 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 545941036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019387169108).

545941036800 is an abundant number, since it is smaller than the sum of its proper divisors (1492833301416).

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

545941036800 is a wasteful number, since it uses less digits than its factorization.

545941036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 545941036800 in words is "five hundred forty-five billion, nine hundred forty-one million, thirty-six thousand, eight hundred".