10015581680 has 160 divisors (see below), whose sum is σ = 26521302528. Its totient is φ = 3491020800.

The previous prime is 10015581661. The next prime is 10015581683. The reversal of 10015581680 is 8618551001.

It is a partition number, being equal to the number of ways a set of 136 identical objects can be partitioned into subset.

It is a self number, because there is not a number n which added to its sum of digits gives 10015581680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015581683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318052 + ... + 1325628.

Almost surely, 2^10015581680 is an apocalyptic number.

10015581680 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 10015581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260651264).

10015581680 is an abundant number, since it is smaller than the sum of its proper divisors (16505720848).

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

10015581680 is a wasteful number, since it uses less digits than its factorization.

10015581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 35.

The spelling of 10015581680 in words is "ten billion, fifteen million, five hundred eighty-one thousand, six hundred eighty".