10500501000 has 192 divisors, whose sum is σ = 36011888640. Its totient is φ = 2545488000.

The previous prime is 10500500953. The next prime is 10500501017. The reversal of 10500501000 is 10500501.

It is a super-2 number, since 2×10500501000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348537 + ... + 377463.

It is an arithmetic number, because the mean of its divisors is an integer number (187561920).

Almost surely, 2^10500501000 is an apocalyptic number.

10500501000 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 10500501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18005944320).

10500501000 is an abundant number, since it is smaller than the sum of its proper divisors (25511387640).

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

10500501000 is a wasteful number, since it uses less digits than its factorization.

10500501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28973 (or 28948 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

10500501000 divided by its reverse (10500501) gives a cube (1000 = 10³).

The spelling of 10500501000 in words is "ten billion, five hundred million, five hundred one thousand".