5001184955520 has 384 divisors, whose sum is σ = 19100820014640. Its totient is φ = 1197788332032.

The previous prime is 5001184955489. The next prime is 5001184955527. The reversal of 5001184955520 is 255594811005.

5001184955520 is a `hidden beast` number, since 5 + 0 + 0 + 1 + 1 + 8 + 4 + 95 + 552 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2801231521344 + 2199953434176 = 1673688^2 + 1483224^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5001184955527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868002 + ... + 3673118.

Almost surely, 2^{5001184955520} 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 5001184955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9550410007320).

5001184955520 is an abundant number, since it is smaller than the sum of its proper divisors (14099635059120).

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

5001184955520 is a wasteful number, since it uses less digits than its factorization.

5001184955520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805192 (or 1805177 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 5001184955520 in words is "five trillion, one billion, one hundred eighty-four million, nine hundred fifty-five thousand, five hundred twenty".