10165802500 has 240 divisors, whose sum is σ = 26357063040. Its totient is φ = 3358080000.

The previous prime is 10165802489. The next prime is 10165802501. The reversal of 10165802500 is 520856101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10165802501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95007447 + ... + 95007553.

It is an arithmetic number, because the mean of its divisors is an integer number (109821096).

Almost surely, 2^10165802500 is an apocalyptic number.

10165802500 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 10165802500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178531520).

10165802500 is an abundant number, since it is smaller than the sum of its proper divisors (16191260540).

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

10165802500 is a wasteful number, since it uses less digits than its factorization.

10165802500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 10165802500 in words is "ten billion, one hundred sixty-five million, eight hundred two thousand, five hundred".