10287793152 has 880 divisors, whose sum is σ = 39946959360. Its totient is φ = 2563964928.

The previous prime is 10287793133. The next prime is 10287793163. The reversal of 10287793152 is 25139778201.

It is a junction number, because it is equal to n+sod(n) for n = 10287793098 and 10287793107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 218889193 + ... + 218889239.

It is an arithmetic number, because the mean of its divisors is an integer number (45394272).

Almost surely, 2^10287793152 is an apocalyptic number.

10287793152 is a gapful number since it is divisible by the number (12) 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 10287793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19973479680).

10287793152 is an abundant number, since it is smaller than the sum of its proper divisors (29659166208).

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

10287793152 is a wasteful number, since it uses less digits than its factorization.

10287793152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10287793152 in words is "ten billion, two hundred eighty-seven million, seven hundred ninety-three thousand, one hundred fifty-two".