10280733948000 has 768 divisors, whose sum is σ = 38369103252480. Its totient is φ = 2672393472000.

The previous prime is 10280733947989. The next prime is 10280733948007. The reversal of 10280733948000 is 84933708201.

10280733948000 is a `hidden beast` number, since 102 + 80 + 7 + 3 + 394 + 80 + 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 not an unprimeable number, because it can be changed into a prime (10280733948007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2651722062 + ... + 2651725938.

It is an arithmetic number, because the mean of its divisors is an integer number (49959769860).

Almost surely, 2^{10280733948000} is an apocalyptic number.

10280733948000 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 10280733948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184551626240).

10280733948000 is an abundant number, since it is smaller than the sum of its proper divisors (28088369304480).

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

10280733948000 is a wasteful number, since it uses less digits than its factorization.

10280733948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10280733948000 in words is "ten trillion, two hundred eighty billion, seven hundred thirty-three million, nine hundred forty-eight thousand".