55492248268800 has 3744 divisors, whose sum is σ = 249864114339840. Its totient is φ = 11939158425600.

The previous prime is 55492248268789. The next prime is 55492248268801. The reversal of 55492248268800 is 886284229455.

55492248268800 is a `hidden beast` number, since 5 + 5 + 4 + 92 + 2 + 482 + 68 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×55492248268800³ (a number of 42 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55492248268801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 232185139081 + ... + 232185139319.

Almost surely, 2^{55492248268800} is an apocalyptic number.

55492248268800 is a gapful number since it is divisible by the number (50) 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 55492248268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124932057169920).

55492248268800 is an abundant number, since it is smaller than the sum of its proper divisors (194371866071040).

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

55492248268800 is a wasteful number, since it uses less digits than its factorization.

55492248268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 55492248268800 in words is "fifty-five trillion, four hundred ninety-two billion, two hundred forty-eight million, two hundred sixty-eight thousand, eight hundred".