10055368080 has 320 divisors, whose sum is σ = 37572595200. Its totient is φ = 2461777920.

The previous prime is 10055368069. The next prime is 10055368117. The reversal of 10055368080 is 8086355001.

10055368080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10055368080² (a number of 21 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 1502181 + ... + 1508859.

It is an arithmetic number, because the mean of its divisors is an integer number (117414360).

Almost surely, 2^10055368080 is an apocalyptic number.

10055368080 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 10055368080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786297600).

10055368080 is an abundant number, since it is smaller than the sum of its proper divisors (27517227120).

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

10055368080 is a wasteful number, since it uses less digits than its factorization.

10055368080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10055368080 in words is "ten billion, fifty-five million, three hundred sixty-eight thousand, eighty".