10215860826600 has 1440 divisors, whose sum is σ = 44283354746400. Its totient is φ = 2151451238400.

The previous prime is 10215860826581. The next prime is 10215860826629. The reversal of 10215860826600 is 662806851201.

10215860826600 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 586 + 0 + 8 + 2 + 6 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 669489771 + ... + 669505029.

It is an arithmetic number, because the mean of its divisors is an integer number (30752329685).

Almost surely, 2^{10215860826600} is an apocalyptic number.

10215860826600 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 10215860826600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141677373200).

10215860826600 is an abundant number, since it is smaller than the sum of its proper divisors (34067493919800).

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

10215860826600 is a wasteful number, since it uses less digits than its factorization.

10215860826600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345 (or 15310 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10215860826600 in words is "ten trillion, two hundred fifteen billion, eight hundred sixty million, eight hundred twenty-six thousand, six hundred".