10055098944 has 336 divisors, whose sum is σ = 33250875840. Its totient is φ = 2986813440.

The previous prime is 10055098897. The next prime is 10055098967. The reversal of 10055098944 is 44989055001.

10055098944 is a `hidden beast` number, since 1 + 0 + 0 + 550 + 9 + 8 + 94 + 4 = 666.

It is a super-2 number, since 2×10055098944² (a number of 21 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 10055098944.

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 47 ways as a sum of consecutive naturals, for example, 9066262 + ... + 9067370.

It is an arithmetic number, because the mean of its divisors is an integer number (98960940).

Almost surely, 2^10055098944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055098944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625437920).

10055098944 is an abundant number, since it is smaller than the sum of its proper divisors (23195776896).

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

10055098944 is a wasteful number, since it uses less digits than its factorization.

10055098944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10055098944 in words is "ten billion, fifty-five million, ninety-eight thousand, nine hundred forty-four".