545655759120 has 320 divisors, whose sum is σ = 1968874698240. Its totient is φ = 138636951552.

The previous prime is 545655759107. The next prime is 545655759197. The reversal of 545655759120 is 21957556545.

545655759120 is a `hidden beast` number, since 5 + 4 + 5 + 65 + 575 + 9 + 1 + 2 + 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12746392 + ... + 12789128.

It is an arithmetic number, because the mean of its divisors is an integer number (6152733432).

Almost surely, 2^545655759120 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 545655759120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984437349120).

545655759120 is an abundant number, since it is smaller than the sum of its proper divisors (1423218939120).

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

545655759120 is a wasteful number, since it uses less digits than its factorization.

545655759120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43039 (or 43027 counting only the distinct ones).

The product of its (nonzero) digits is 9450000, while the sum is 54.

The spelling of 545655759120 in words is "five hundred forty-five billion, six hundred fifty-five million, seven hundred fifty-nine thousand, one hundred twenty".