55417126968 has 128 divisors (see below), whose sum is σ = 176054976000. Its totient is φ = 15821982720.

The previous prime is 55417126927. The next prime is 55417126987. The reversal of 55417126968 is 86962171455.

It is a happy number.

55417126968 is a `hidden beast` number, since 5 + 541 + 7 + 1 + 2 + 6 + 96 + 8 = 666.

It is a super-3 number, since 3×55417126968³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2193448 + ... + 2218568.

It is an arithmetic number, because the mean of its divisors is an integer number (1375429500).

Almost surely, 2^55417126968 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 55417126968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88027488000).

55417126968 is an abundant number, since it is smaller than the sum of its proper divisors (120637849032).

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

55417126968 is a wasteful number, since it uses less digits than its factorization.

55417126968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26602 (or 26592 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 55417126968 in words is "fifty-five billion, four hundred seventeen million, one hundred twenty-six thousand, nine hundred sixty-eight".