10215936000 has 416 divisors, whose sum is σ = 37822761600. Its totient is φ = 2720563200.

The previous prime is 10215935993. The next prime is 10215936047. The reversal of 10215936000 is 63951201.

10215936000 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 59 + 3 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13823631 + ... + 13824369.

It is an arithmetic number, because the mean of its divisors is an integer number (90920100).

Almost surely, 2^10215936000 is an apocalyptic number.

10215936000 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 10215936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18911380800).

10215936000 is an abundant number, since it is smaller than the sum of its proper divisors (27606825600).

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

10215936000 is an frugal number, since it uses more digits than its factorization.

10215936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10215936000 in words is "ten billion, two hundred fifteen million, nine hundred thirty-six thousand".