5606962560000 has 1320 divisors, whose sum is σ = 21675704354304. Its totient is φ = 1445713920000.

The previous prime is 5606962559971. The next prime is 5606962560047. The reversal of 5606962560000 is 652696065.

5606962560000 is a `hidden beast` number, since 560 + 6 + 9 + 6 + 25 + 60 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 4821119419 + ... + 4821120581.

Almost surely, 2^{5606962560000} is an apocalyptic number.

5606962560000 is a gapful number since it is divisible by the number (50) 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 5606962560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10837852177152).

5606962560000 is an abundant number, since it is smaller than the sum of its proper divisors (16068741794304).

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

5606962560000 is an equidigital number, since it uses as much as digits as its factorization.

5606962560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5606962560000 in words is "five trillion, six hundred six billion, nine hundred sixty-two million, five hundred sixty thousand".