10055011200 has 768 divisors, whose sum is σ = 38757519360. Its totient is φ = 2270822400.

The previous prime is 10055011193. The next prime is 10055011201. The reversal of 10055011200 is 211055001.

It is a super-2 number, since 2×10055011200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10055011200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055011201) 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, 88982344 + ... + 88982456.

It is an arithmetic number, because the mean of its divisors is an integer number (50465520).

Almost surely, 2^10055011200 is an apocalyptic number.

10055011200 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 10055011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19378759680).

10055011200 is an abundant number, since it is smaller than the sum of its proper divisors (28702508160).

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

10055011200 is a wasteful number, since it uses less digits than its factorization.

10055011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 10055011200 its reverse (211055001), we get a palindrome (10266066201).

The spelling of 10055011200 in words is "ten billion, fifty-five million, eleven thousand, two hundred".