10087292160 has 432 divisors, whose sum is σ = 39740658048. Its totient is φ = 2338406400.

The previous prime is 10087292087. The next prime is 10087292161. The reversal of 10087292160 is 6129278001.

10087292160 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087292161) 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 47 ways as a sum of consecutive naturals, for example, 2912830 + ... + 2916290.

It is an arithmetic number, because the mean of its divisors is an integer number (91992264).

Almost surely, 2^10087292160 is an apocalyptic number.

10087292160 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 10087292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19870329024).

10087292160 is an abundant number, since it is smaller than the sum of its proper divisors (29653365888).

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

10087292160 is a wasteful number, since it uses less digits than its factorization.

10087292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10087292160 in words is "ten billion, eighty-seven million, two hundred ninety-two thousand, one hundred sixty".