4507875090000 has 600 divisors, whose sum is σ = 16032857343360. Its totient is φ = 1181786112000.

The previous prime is 4507875089983. The next prime is 4507875090001. The reversal of 4507875090000 is 905787054.

4507875090000 is a `hidden beast` number, since 4 + 507 + 8 + 7 + 50 + 90 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 (4507875090001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1827268767 + ... + 1827271233.

Almost surely, 2^{4507875090000} is an apocalyptic number.

4507875090000 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 4507875090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8016428671680).

4507875090000 is an abundant number, since it is smaller than the sum of its proper divisors (11524982253360).

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

4507875090000 is a wasteful number, since it uses less digits than its factorization.

4507875090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 4507875090000 in words is "four trillion, five hundred seven billion, eight hundred seventy-five million, ninety thousand".