10554069120 has 512 divisors, whose sum is σ = 39974860800. Its totient is φ = 2318499840.

The previous prime is 10554069101. The next prime is 10554069121. The reversal of 10554069120 is 2196045501.

It is a super-2 number, since 2×10554069120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10554069121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58961191 + ... + 58961369.

It is an arithmetic number, because the mean of its divisors is an integer number (78075900).

Almost surely, 2^10554069120 is an apocalyptic number.

10554069120 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 10554069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987430400).

10554069120 is an abundant number, since it is smaller than the sum of its proper divisors (29420791680).

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

10554069120 is a wasteful number, since it uses less digits than its factorization.

10554069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 10554069120 in words is "ten billion, five hundred fifty-four million, sixty-nine thousand, one hundred twenty".