5601206672000 has 64 divisors (see below), whose sum is σ = 13926000128040. Its totient is φ = 2240482662400.

The previous prime is 5601206671979. The next prime is 5601206672029. The reversal of 5601206672000 is 2766021065.

It can be written as a sum of positive squares in 4 ways, for example, as 2965311552064 + 2635895119936 = 1722008^2 + 1623544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 175021709 + ... + 175053708.

Almost surely, 2^{5601206672000} is an apocalyptic number.

5601206672000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5601206672000 is an abundant number, since it is smaller than the sum of its proper divisors (8324793456040).

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

5601206672000 is an equidigital number, since it uses as much as digits as its factorization.

5601206672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350075446 (or 350075424 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 5601206672000 in words is "five trillion, six hundred one billion, two hundred six million, six hundred seventy-two thousand".