10792154880 has 864 divisors, whose sum is σ = 44435611584. Its totient is φ = 2484338688.

The previous prime is 10792154833. The next prime is 10792154887. The reversal of 10792154880 is 8845129701.

10792154880 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 21 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10792154887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68739762 + ... + 68739918.

It is an arithmetic number, because the mean of its divisors is an integer number (51430106).

Almost surely, 2^10792154880 is an apocalyptic number.

10792154880 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 10792154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217805792).

10792154880 is an abundant number, since it is smaller than the sum of its proper divisors (33643456704).

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

10792154880 is a wasteful number, since it uses less digits than its factorization.

10792154880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10792154880 in words is "ten billion, seven hundred ninety-two million, one hundred fifty-four thousand, eight hundred eighty".