10754079180 has 384 divisors, whose sum is σ = 35613720576. Its totient is φ = 2402611200.

The previous prime is 10754079163. The next prime is 10754079197. The reversal of 10754079180 is 8197045701.

10754079180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10754079163) and next prime (10754079197).

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 127 ways as a sum of consecutive naturals, for example, 33924382 + ... + 33924698.

It is an arithmetic number, because the mean of its divisors is an integer number (92744064).

Almost surely, 2^10754079180 is an apocalyptic number.

10754079180 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 10754079180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17806860288).

10754079180 is an abundant number, since it is smaller than the sum of its proper divisors (24859641396).

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

10754079180 is a wasteful number, since it uses less digits than its factorization.

10754079180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 10754079180 in words is "ten billion, seven hundred fifty-four million, seventy-nine thousand, one hundred eighty".