10792309248000 has 2496 divisors, whose sum is σ = 47151776415744. Its totient is φ = 2322432000000.

The previous prime is 10792309247983. The next prime is 10792309248139. The reversal of 10792309248000 is 84290329701.

10792309248000 is a `hidden beast` number, since 10 + 7 + 92 + 309 + 248 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42997247875 + ... + 42997248125.

It is an arithmetic number, because the mean of its divisors is an integer number (18890936064).

Almost surely, 2^{10792309248000} is an apocalyptic number.

10792309248000 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 10792309248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23575888207872).

10792309248000 is an abundant number, since it is smaller than the sum of its proper divisors (36359467167744).

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

10792309248000 is a wasteful number, since it uses less digits than its factorization.

10792309248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10792309248000 in words is "ten trillion, seven hundred ninety-two billion, three hundred nine million, two hundred forty-eight thousand".