10387953000 has 256 divisors, whose sum is σ = 36627552000. Its totient is φ = 2722752000.

The previous prime is 10387952951. The next prime is 10387953007. The reversal of 10387953000 is 35978301.

10387953000 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 not an unprimeable number, because it can be changed into a prime (10387953007) 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 63 ways as a sum of consecutive naturals, for example, 1589740 + ... + 1596260.

It is an arithmetic number, because the mean of its divisors is an integer number (143076375).

Almost surely, 2^10387953000 is an apocalyptic number.

10387953000 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 10387953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18313776000).

10387953000 is an abundant number, since it is smaller than the sum of its proper divisors (26239599000).

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

10387953000 is a wasteful number, since it uses less digits than its factorization.

10387953000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10387953000 in words is "ten billion, three hundred eighty-seven million, nine hundred fifty-three thousand".