10792280903040 has 2560 divisors, whose sum is σ = 52418294691840. Its totient is φ = 2049579417600.

The previous prime is 10792280903003. The next prime is 10792280903077. The reversal of 10792280903040 is 4030908229701.

It is an interprime number because it is at equal distance from previous prime (10792280903003) and next prime (10792280903077).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1844516115 + ... + 1844521965.

It is an arithmetic number, because the mean of its divisors is an integer number (20475896364).

Almost surely, 2^{10792280903040} is an apocalyptic number.

10792280903040 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 10792280903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26209147345920).

10792280903040 is an abundant number, since it is smaller than the sum of its proper divisors (41626013788800).

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

10792280903040 is a wasteful number, since it uses less digits than its factorization.

10792280903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5921 counting only the distinct ones).

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

The spelling of 10792280903040 in words is "ten trillion, seven hundred ninety-two billion, two hundred eighty million, nine hundred three thousand, forty".