545583576240 has 160 divisors (see below), whose sum is σ = 1879969882560. Its totient is φ = 145431853056.

The previous prime is 545583576211. The next prime is 545583576313. The reversal of 545583576240 is 42675385545.

545583576240 is a `hidden beast` number, since 5 + 4 + 5 + 5 + 8 + 3 + 5 + 7 + 624 + 0 = 666.

It is a super-2 number, since 2×545583576240² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5604462 + ... + 5700978.

It is an arithmetic number, because the mean of its divisors is an integer number (11749811766).

Almost surely, 2^545583576240 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 545583576240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939984941280).

545583576240 is an abundant number, since it is smaller than the sum of its proper divisors (1334386306320).

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

545583576240 is a wasteful number, since it uses less digits than its factorization.

545583576240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99156 (or 99144 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 545583576240 in words is "five hundred forty-five billion, five hundred eighty-three million, five hundred seventy-six thousand, two hundred forty".