545027616000 has 3456 divisors, whose sum is σ = 2674172067840. Its totient is φ = 107495424000.

The previous prime is 545027615963. The next prime is 545027616157. The reversal of 545027616000 is 616720545.

It is a happy number.

545027616000 is a `hidden beast` number, since 5 + 45 + 0 + 2 + 7 + 6 + 1 + 600 + 0 = 666.

545027616000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17581535985 + ... + 17581536015.

It is an arithmetic number, because the mean of its divisors is an integer number (773776640).

Almost surely, 2^545027616000 is an apocalyptic number.

545027616000 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 545027616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337086033920).

545027616000 is an abundant number, since it is smaller than the sum of its proper divisors (2129144451840).

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

545027616000 is a wasteful number, since it uses less digits than its factorization.

545027616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 545027616000 in words is "five hundred forty-five billion, twenty-seven million, six hundred sixteen thousand".