5045909140800 has 252 divisors, whose sum is σ = 19564748775936. Its totient is φ = 1223250662400.

The previous prime is 5045909140777. The next prime is 5045909140889. The reversal of 5045909140800 is 80419095405.

5045909140800 is a `hidden beast` number, since 50 + 4 + 590 + 9 + 1 + 4 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×5045909140800² (a number of 26 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 15769344 + ... + 16086143.

It is an arithmetic number, because the mean of its divisors is an integer number (77637891968).

Almost surely, 2^{5045909140800} is an apocalyptic number.

5045909140800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5045909140800 is an abundant number, since it is smaller than the sum of its proper divisors (14518839635136).

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

5045909140800 is a wasteful number, since it uses less digits than its factorization.

5045909140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31855526 (or 31855508 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5045909140800 in words is "five trillion, forty-five billion, nine hundred nine million, one hundred forty thousand, eight hundred".