55067922216960 has 768 divisors, whose sum is σ = 185163421322880. Its totient is φ = 13956462673920.

The previous prime is 55067922216949. The next prime is 55067922216991. The reversal of 55067922216960 is 6961222976055.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×55067922216960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 55067922216894 and 55067922216903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14518300824 + ... + 14518304616.

Almost surely, 2^{55067922216960} 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 55067922216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92581710661440).

55067922216960 is an abundant number, since it is smaller than the sum of its proper divisors (130095499105920).

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

55067922216960 is a wasteful number, since it uses less digits than its factorization.

55067922216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 55067922216960 in words is "fifty-five trillion, sixty-seven billion, nine hundred twenty-two million, two hundred sixteen thousand, nine hundred sixty".