1045588320180 has 240 divisors, whose sum is σ = 3458873436480. Its totient is φ = 263675077632.

The previous prime is 1045588320149. The next prime is 1045588320187. The reversal of 1045588320180 is 810238855401.

1045588320180 is a `hidden beast` number, since 1 + 0 + 4 + 558 + 83 + 2 + 0 + 18 + 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 not an unprimeable number, because it can be changed into a prime (1045588320187) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17298972 + ... + 17359308.

It is an arithmetic number, because the mean of its divisors is an integer number (14411972652).

Almost surely, 2^{1045588320180} is an apocalyptic number.

1045588320180 is a gapful number since it is divisible by the number (10) 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 1045588320180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729436718240).

1045588320180 is an abundant number, since it is smaller than the sum of its proper divisors (2413285116300).

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

1045588320180 is a wasteful number, since it uses less digits than its factorization.

1045588320180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60940 (or 60929 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1045588320180 in words is "one trillion, forty-five billion, five hundred eighty-eight million, three hundred twenty thousand, one hundred eighty".