10270970085600 has 432 divisors, whose sum is σ = 42236754487200. Its totient is φ = 2347649740800.

The previous prime is 10270970085583. The next prime is 10270970085631. The reversal of 10270970085600 is 658007907201.

10270970085600 is a `hidden beast` number, since 10 + 2 + 7 + 0 + 9 + 70 + 0 + 8 + 560 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 390120 + ... + 4549080.

Almost surely, 2^{10270970085600} is an apocalyptic number.

10270970085600 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 10270970085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118377243600).

10270970085600 is an abundant number, since it is smaller than the sum of its proper divisors (31965784401600).

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

10270970085600 is a wasteful number, since it uses less digits than its factorization.

10270970085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159008 (or 4158978 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10270970085600 in words is "ten trillion, two hundred seventy billion, nine hundred seventy million, eighty-five thousand, six hundred".