55036579207680 has 960 divisors, whose sum is σ = 227431989278208. Its totient is φ = 12026275430400.

The previous prime is 55036579207667. The next prime is 55036579207681. The reversal of 55036579207680 is 8670297563055.

55036579207680 is a `hidden beast` number, since 5 + 5 + 0 + 36 + 579 + 20 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55036579207681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10390138792 + ... + 10390144088.

Almost surely, 2^{55036579207680} 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 55036579207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113715994639104).

55036579207680 is an abundant number, since it is smaller than the sum of its proper divisors (172395410070528).

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

55036579207680 is a wasteful number, since it uses less digits than its factorization.

55036579207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 55036579207680 in words is "fifty-five trillion, thirty-six billion, five hundred seventy-nine million, two hundred seven thousand, six hundred eighty".