55567757583360 has 1056 divisors, whose sum is σ = 225336753532800. Its totient is φ = 13006362378240.

The previous prime is 55567757583337. The next prime is 55567757583409. The reversal of 55567757583360 is 6338575776555.

55567757583360 is a `hidden beast` number, since 5 + 5 + 5 + 6 + 7 + 7 + 5 + 7 + 583 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×55567757583360³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 396817036 + ... + 396957044.

Almost surely, 2^{55567757583360} 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 55567757583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112668376766400).

55567757583360 is an abundant number, since it is smaller than the sum of its proper divisors (169768995949440).

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

55567757583360 is a wasteful number, since it uses less digits than its factorization.

55567757583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140089 (or 140059 counting only the distinct ones).

The product of its (nonzero) digits is 2778300000, while the sum is 72.

The spelling of 55567757583360 in words is "fifty-five trillion, five hundred sixty-seven billion, seven hundred fifty-seven million, five hundred eighty-three thousand, three hundred sixty".