5630066580096 has 448 divisors, whose sum is σ = 19261088383680. Its totient is φ = 1605058965504.

The previous prime is 5630066580059. The next prime is 5630066580133. The reversal of 5630066580096 is 6900856600365.

5630066580096 is a `hidden beast` number, since 56 + 3 + 0 + 0 + 6 + 6 + 580 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5630066580059) and next prime (5630066580133).

It is a tau number, because it is divible by the number of its divisors (448).

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 55 ways as a sum of consecutive naturals, for example, 305027700 + ... + 305046156.

Almost surely, 2^{5630066580096} is an apocalyptic number.

5630066580096 is a gapful number since it is divisible by the number (56) 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 5630066580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630544191840).

5630066580096 is an abundant number, since it is smaller than the sum of its proper divisors (13631021803584).

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

5630066580096 is an equidigital number, since it uses as much as digits as its factorization.

5630066580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18963 (or 18936 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 5630066580096 in words is "five trillion, six hundred thirty billion, sixty-six million, five hundred eighty thousand, ninety-six".