55921682880 has 896 divisors, whose sum is σ = 233711861760. Its totient is φ = 12323819520.

The previous prime is 55921682863. The next prime is 55921682881. The reversal of 55921682880 is 8828612955.

It is a happy number.

55921682880 is a `hidden beast` number, since 559 + 2 + 1 + 6 + 8 + 2 + 8 + 80 = 666.

It is a super-2 number, since 2×55921682880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55921682881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292783585 + ... + 292783775.

Almost surely, 2^55921682880 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 55921682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116855930880).

55921682880 is an abundant number, since it is smaller than the sum of its proper divisors (177790178880).

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

55921682880 is a wasteful number, since it uses less digits than its factorization.

55921682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 55921682880 in words is "fifty-five billion, nine hundred twenty-one million, six hundred eighty-two thousand, eight hundred eighty".