5512184576640 has 1280 divisors, whose sum is σ = 22903394976000. Its totient is φ = 1237391769600.

The previous prime is 5512184576599. The next prime is 5512184576663. The reversal of 5512184576640 is 466754812155.

5512184576640 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 1 + 8 + 4 + 576 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5244704115 + ... + 5244705165.

It is an arithmetic number, because the mean of its divisors is an integer number (17893277325).

Almost surely, 2^{5512184576640} 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 5512184576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11451697488000).

5512184576640 is an abundant number, since it is smaller than the sum of its proper divisors (17391210399360).

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

5512184576640 is a wasteful number, since it uses less digits than its factorization.

5512184576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 5512184576640 in words is "five trillion, five hundred twelve billion, one hundred eighty-four million, five hundred seventy-six thousand, six hundred forty".