10792077120 has 1008 divisors, whose sum is σ = 44858171904. Its totient is φ = 2463436800.

The previous prime is 10792077103. The next prime is 10792077137. The reversal of 10792077120 is 2177029701.

10792077120 = T₂₆₅ + T₂₆₆ + ... + T₄₀₁₅.

It is an interprime number because it is at equal distance from previous prime (10792077103) and next prime (10792077137).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 291677742 + ... + 291677778.

Almost surely, 2^10792077120 is an apocalyptic number.

10792077120 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 10792077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22429085952).

10792077120 is an abundant number, since it is smaller than the sum of its proper divisors (34066094784).

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

10792077120 is a wasteful number, since it uses less digits than its factorization.

10792077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 10792077120 in words is "ten billion, seven hundred ninety-two million, seventy-seven thousand, one hundred twenty".