10741579776 has 384 divisors, whose sum is σ = 34350825600. Its totient is φ = 3344302080.

The previous prime is 10741579769. The next prime is 10741579799. The reversal of 10741579776 is 67797514701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151289821 + ... + 151289891.

It is an arithmetic number, because the mean of its divisors is an integer number (89455275).

Almost surely, 2^10741579776 is an apocalyptic number.

10741579776 is a gapful number since it is divisible by the number (16) 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 10741579776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175412800).

10741579776 is an abundant number, since it is smaller than the sum of its proper divisors (23609245824).

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

10741579776 is an frugal number, since it uses more digits than its factorization.

10741579776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2593080, while the sum is 54.

The spelling of 10741579776 in words is "ten billion, seven hundred forty-one million, five hundred seventy-nine thousand, seven hundred seventy-six".