10055004000000 has 1008 divisors, whose sum is σ = 34767994963968. Its totient is φ = 2577920000000.

The previous prime is 10055003999981. The next prime is 10055004000029. The reversal of 10055004000000 is 40055001.

It is a super-2 number, since 2×10055004000000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52643999905 + ... + 52644000095.

It is an arithmetic number, because the mean of its divisors is an integer number (34492058496).

Almost surely, 2^{10055004000000} is an apocalyptic number.

10055004000000 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 10055004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17383997481984).

10055004000000 is an abundant number, since it is smaller than the sum of its proper divisors (24712990963968).

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

10055004000000 is an frugal number, since it uses more digits than its factorization.

10055004000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

Adding to 10055004000000 its reverse (40055001), we get a palindrome (10055044055001).

The spelling of 10055004000000 in words is "ten trillion, fifty-five billion, four million", and thus it is an aban number.