10120070825664 has 112 divisors (see below), whose sum is σ = 26891827100160. Its totient is φ = 3358771153920.

The previous prime is 10120070825659. The next prime is 10120070825713. The reversal of 10120070825664 is 46652807002101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510769422 + ... + 510789234.

Almost surely, 2^{10120070825664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120070825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13445913550080).

10120070825664 is an abundant number, since it is smaller than the sum of its proper divisors (16771756274496).

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

10120070825664 is a wasteful number, since it uses less digits than its factorization.

10120070825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31198 (or 31188 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

Adding to 10120070825664 its reverse (46652807002101), we get a palindrome (56772877827765).

The spelling of 10120070825664 in words is "ten trillion, one hundred twenty billion, seventy million, eight hundred twenty-five thousand, six hundred sixty-four".