10970146052000 has 192 divisors, whose sum is σ = 28691069097600. Its totient is φ = 4110396364800.

The previous prime is 10970146051993. The next prime is 10970146052011. The reversal of 10970146052000 is 25064107901.

It is a super-2 number, since 2×10970146052000² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5953079 + ... + 7574921.

It is an arithmetic number, because the mean of its divisors is an integer number (149432651550).

Almost surely, 2^{10970146052000} is an apocalyptic number.

10970146052000 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 10970146052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14345534548800).

10970146052000 is an abundant number, since it is smaller than the sum of its proper divisors (17720923045600).

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

10970146052000 is a wasteful number, since it uses less digits than its factorization.

10970146052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621976 (or 1621958 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 10970146052000 in words is "ten trillion, nine hundred seventy billion, one hundred forty-six million, fifty-two thousand".