55510807968 has 1296 divisors, whose sum is σ = 223518204000. Its totient is φ = 12964976640.

The previous prime is 55510807967. The next prime is 55510807973. The reversal of 55510807968 is 86970801555.

55510807968 is a `hidden beast` number, since 5 + 551 + 0 + 80 + 7 + 9 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (55510807967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 940861123 + ... + 940861181.

It is an arithmetic number, because the mean of its divisors is an integer number (172467750).

Almost surely, 2^55510807968 is an apocalyptic number.

55510807968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55510807968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111759102000).

55510807968 is an abundant number, since it is smaller than the sum of its proper divisors (168007396032).

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

55510807968 is a wasteful number, since it uses less digits than its factorization.

55510807968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 55510807968 in words is "fifty-five billion, five hundred ten million, eight hundred seven thousand, nine hundred sixty-eight".