10270978436970 has 48 divisors (see below), whose sum is σ = 27426288375720. Its totient is φ = 2664902512512.

The previous prime is 10270978436963. The next prime is 10270978437023. The reversal of 10270978436970 is 7963487907201.

10270978436970 is a `hidden beast` number, since 1 + 0 + 27 + 0 + 97 + 8 + 436 + 97 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10226647555569 + 44330881401 = 3197913^2 + 210549^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10270978436898 and 10270978436907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1542185625 + ... + 1542192284.

Almost surely, 2^{10270978436970} is an apocalyptic number.

10270978436970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10270978436970 is an abundant number, since it is smaller than the sum of its proper divisors (17155309938750).

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

10270978436970 is a wasteful number, since it uses less digits than its factorization.

10270978436970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084377959 (or 3084377956 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 10270978436970 in words is "ten trillion, two hundred seventy billion, nine hundred seventy-eight million, four hundred thirty-six thousand, nine hundred seventy".