10315488960 has 336 divisors, whose sum is σ = 42314628096. Its totient is φ = 2255210496.

The previous prime is 10315488923. The next prime is 10315488961. The reversal of 10315488960 is 6988451301.

10315488960 is a `hidden beast` number, since 10 + 3 + 1 + 548 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10315488961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452557 + ... + 474803.

Almost surely, 2^10315488960 is an apocalyptic number.

10315488960 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 10315488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21157314048).

10315488960 is an abundant number, since it is smaller than the sum of its proper divisors (31999139136).

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

10315488960 is a wasteful number, since it uses less digits than its factorization.

10315488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22300 (or 22287 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10315488960 in words is "ten billion, three hundred fifteen million, four hundred eighty-eight thousand, nine hundred sixty".