10052658000 has 480 divisors, whose sum is σ = 43780269312. Its totient is φ = 2088576000.

The previous prime is 10052657987. The next prime is 10052658071. The reversal of 10052658000 is 85625001.

10052658000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 658 + 0 + 0 + 0 = 666.

10052658000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1382374 + ... + 1389626.

Almost surely, 2^10052658000 is an apocalyptic number.

10052658000 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 10052658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890134656).

10052658000 is an abundant number, since it is smaller than the sum of its proper divisors (33727611312).

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

10052658000 is a wasteful number, since it uses less digits than its factorization.

10052658000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10052658000 in words is "ten billion, fifty-two million, six hundred fifty-eight thousand".