55417337644032 has 2376 divisors, whose sum is σ = 217595701342656. Its totient is φ = 13955270934528.

The previous prime is 55417337643973. The next prime is 55417337644063. The reversal of 55417337644032 is 23044673371455.

55417337644032 is a `hidden beast` number, since 5 + 5 + 4 + 173 + 3 + 7 + 64 + 403 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55417337644032.

It is an unprimeable number.

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, 98432215783 + ... + 98432216345.

Almost surely, 2^{55417337644032} is an apocalyptic number.

55417337644032 is a gapful number since it is divisible by the number (52) 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 55417337644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108797850671328).

55417337644032 is an abundant number, since it is smaller than the sum of its proper divisors (162178363698624).

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

55417337644032 is an equidigital number, since it uses as much as digits as its factorization.

55417337644032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 55417337644032 in words is "fifty-five trillion, four hundred seventeen billion, three hundred thirty-seven million, six hundred forty-four thousand, thirty-two".