10492059133248 has 448 divisors, whose sum is σ = 36443916748800. Its totient is φ = 2580916469760.

The previous prime is 10492059133117. The next prime is 10492059133271. The reversal of 10492059133248 is 84233195029401.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10492059133248² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10492059133248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1407004336 + ... + 1407011792.

Almost surely, 2^{10492059133248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10492059133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221958374400).

10492059133248 is an abundant number, since it is smaller than the sum of its proper divisors (25951857615552).

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

10492059133248 is a wasteful number, since it uses less digits than its factorization.

10492059133248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12518 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 10492059133248 in words is "ten trillion, four hundred ninety-two billion, fifty-nine million, one hundred thirty-three thousand, two hundred forty-eight".