10064952000 has 448 divisors, whose sum is σ = 39113642880. Its totient is φ = 2525184000.

The previous prime is 10064951999. The next prime is 10064952041. The reversal of 10064952000 is 25946001.

10064952000 is a `hidden beast` number, since 10 + 0 + 649 + 5 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3670630 + ... + 3673370.

Almost surely, 2^10064952000 is an apocalyptic number.

10064952000 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 10064952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556821440).

10064952000 is an abundant number, since it is smaller than the sum of its proper divisors (29048690880).

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

10064952000 is a wasteful number, since it uses less digits than its factorization.

10064952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10064952000 in words is "ten billion, sixty-four million, nine hundred fifty-two thousand".