545311388160 has 3200 divisors, whose sum is σ = 2695102502400. Its totient is φ = 104044953600.

The previous prime is 545311388123. The next prime is 545311388183. The reversal of 545311388160 is 61883113545.

545311388160 is a `hidden beast` number, since 5 + 4 + 531 + 1 + 38 + 81 + 6 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 13300277740 + ... + 13300277780.

It is an arithmetic number, because the mean of its divisors is an integer number (842219532).

Almost surely, 2^545311388160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545311388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347551251200).

545311388160 is an abundant number, since it is smaller than the sum of its proper divisors (2149791114240).

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

545311388160 is a wasteful number, since it uses less digits than its factorization.

545311388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 545311388160 in words is "five hundred forty-five billion, three hundred eleven million, three hundred eighty-eight thousand, one hundred sixty".