10293888000 has 352 divisors, whose sum is σ = 37369507968. Its totient is φ = 2494464000.

The previous prime is 10293887987. The next prime is 10293888013. The reversal of 10293888000 is 88839201.

It is an interprime number because it is at equal distance from previous prime (10293887987) and next prime (10293888013).

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 10293888000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4222782 + ... + 4225218.

Almost surely, 2^10293888000 is an apocalyptic number.

10293888000 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 10293888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18684753984).

10293888000 is an abundant number, since it is smaller than the sum of its proper divisors (27075619968).

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

10293888000 is a wasteful number, since it uses less digits than its factorization.

10293888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 10293888000 in words is "ten billion, two hundred ninety-three million, eight hundred eighty-eight thousand".