10315872000 has 1296 divisors, whose sum is σ = 46783088352. Its totient is φ = 2167603200.

The previous prime is 10315871999. The next prime is 10315872001. The reversal of 10315872000 is 27851301.

It is an interprime number because it is at equal distance from previous prime (10315871999) and next prime (10315872001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315872001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239903979 + ... + 239904021.

It is an arithmetic number, because the mean of its divisors is an integer number (36098062).

Almost surely, 2^10315872000 is an apocalyptic number.

10315872000 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 10315872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23391544176).

10315872000 is an abundant number, since it is smaller than the sum of its proper divisors (36467216352).

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

10315872000 is a wasteful number, since it uses less digits than its factorization.

10315872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10315872000 in words is "ten billion, three hundred fifteen million, eight hundred seventy-two thousand".