55101456864300 has 2304 divisors, whose sum is σ = 220233904128000. Its totient is φ = 10304630784000.

The previous prime is 55101456864299. The next prime is 55101456864323. The reversal of 55101456864300 is 346865410155.

It is a super-2 number, since 2×55101456864300² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55101456864300.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 59958059241 + ... + 59958060159.

It is an arithmetic number, because the mean of its divisors is an integer number (95587632000).

Almost surely, 2^{55101456864300} is an apocalyptic number.

55101456864300 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 55101456864300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110116952064000).

55101456864300 is an abundant number, since it is smaller than the sum of its proper divisors (165132447263700).

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

55101456864300 is a wasteful number, since it uses less digits than its factorization.

55101456864300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 55101456864300 in words is "fifty-five trillion, one hundred one billion, four hundred fifty-six million, eight hundred sixty-four thousand, three hundred".