10055923200 has 720 divisors, whose sum is σ = 38647745136. Its totient is φ = 2587852800.

The previous prime is 10055923187. The next prime is 10055923259. The reversal of 10055923200 is 232955001.

10055923200 is a `hidden beast` number, since 100 + 559 + 2 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10055923200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164851170 + ... + 164851230.

Almost surely, 2^10055923200 is an apocalyptic number.

10055923200 is a gapful number since it is divisible by the number (10) 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 10055923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323872568).

10055923200 is an abundant number, since it is smaller than the sum of its proper divisors (28591821936).

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

10055923200 is an frugal number, since it uses more digits than its factorization.

10055923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 10055923200 in words is "ten billion, fifty-five million, nine hundred twenty-three thousand, two hundred".