10087000000 has 392 divisors, whose sum is σ = 31432097664. Its totient is φ = 3120000000.

The previous prime is 10086999983. The next prime is 10087000009. The reversal of 10087000000 is 78001.

10087000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76999935 + ... + 77000065.

Almost surely, 2^10087000000 is an apocalyptic number.

10087000000 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 10087000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716048832).

10087000000 is an abundant number, since it is smaller than the sum of its proper divisors (21345097664).

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

10087000000 is an frugal number, since it uses more digits than its factorization.

10087000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 10087000000 its reverse (78001), we get a palindrome (10087078001).

It can be divided in two parts, 1008 and 7000000, that multiplied together give a square (7056000000 = 84000²).

The spelling of 10087000000 in words is "ten billion, eighty-seven million", and thus it is an aban number and an uban number.