45580001011200 has 1440 divisors, whose sum is σ = 180942732986400. Its totient is φ = 11223993876480.

The previous prime is 45580001011157. The next prime is 45580001011211. The reversal of 45580001011200 is 211010008554.

45580001011200 is a `hidden beast` number, since 4 + 558 + 0 + 0 + 0 + 101 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5301845302 + ... + 5301853898.

It is an arithmetic number, because the mean of its divisors is an integer number (125654675685).

Almost surely, 2^{45580001011200} is an apocalyptic number.

45580001011200 is a gapful number since it is divisible by the number (40) 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 45580001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90471366493200).

45580001011200 is an abundant number, since it is smaller than the sum of its proper divisors (135362731975200).

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

45580001011200 is a wasteful number, since it uses less digits than its factorization.

45580001011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 45580001011200 its reverse (211010008554), we get a palindrome (45791011019754).

The spelling of 45580001011200 in words is "forty-five trillion, five hundred eighty billion, one million, eleven thousand, two hundred".