10048237056 has 960 divisors, whose sum is σ = 38819658240. Its totient is φ = 2530344960.

The previous prime is 10048237037. The next prime is 10048237063. The reversal of 10048237056 is 65073284001.

10048237056 is a `hidden beast` number, since 100 + 482 + 3 + 70 + 5 + 6 = 666.

10048237056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10048237056.

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 95 ways as a sum of consecutive naturals, for example, 436879861 + ... + 436879883.

It is an arithmetic number, because the mean of its divisors is an integer number (40437144).

Almost surely, 2^10048237056 is an apocalyptic number.

10048237056 is a gapful number since it is divisible by the number (16) 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 10048237056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19409829120).

10048237056 is an abundant number, since it is smaller than the sum of its proper divisors (28771421184).

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

10048237056 is a wasteful number, since it uses less digits than its factorization.

10048237056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10048237056 in words is "ten billion, forty-eight million, two hundred thirty-seven thousand, fifty-six".