5452582690080 has 960 divisors, whose sum is σ = 21639064930560. Its totient is φ = 1284880859136.

The previous prime is 5452582690073. The next prime is 5452582690141. The reversal of 5452582690080 is 800962852545.

5452582690080 is a `hidden beast` number, since 5 + 4 + 52 + 582 + 6 + 9 + 0 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5452582689999 and 5452582690026.

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, 473021277 + ... + 473032803.

It is an arithmetic number, because the mean of its divisors is an integer number (22540692636).

Almost surely, 2^{5452582690080} 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 5452582690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10819532465280).

5452582690080 is an abundant number, since it is smaller than the sum of its proper divisors (16186482240480).

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

5452582690080 is a wasteful number, since it uses less digits than its factorization.

5452582690080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5452582690080 in words is "five trillion, four hundred fifty-two billion, five hundred eighty-two million, six hundred ninety thousand, eighty".