55166610600 has 384 divisors, whose sum is σ = 193037644800. Its totient is φ = 14479430400.

The previous prime is 55166610581. The next prime is 55166610607. The reversal of 55166610600 is 601666155.

55166610600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55166610607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177384445 + ... + 177384755.

It is an arithmetic number, because the mean of its divisors is an integer number (502702200).

Almost surely, 2^55166610600 is an apocalyptic number.

55166610600 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 55166610600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96518822400).

55166610600 is an abundant number, since it is smaller than the sum of its proper divisors (137871034200).

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

55166610600 is a wasteful number, since it uses less digits than its factorization.

55166610600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 55166610600 in words is "fifty-five billion, one hundred sixty-six million, six hundred ten thousand, six hundred".