10970290130688 has 648 divisors, whose sum is σ = 37289058153984. Its totient is φ = 3038355210240.

The previous prime is 10970290130677. The next prime is 10970290130693. The reversal of 10970290130688 is 88603109207901.

10970290130688 is a `hidden beast` number, since 109 + 70 + 2 + 90 + 1 + 306 + 88 = 666.

It is a super-2 number, since 2×10970290130688² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4527563845 + ... + 4527566267.

Almost surely, 2^{10970290130688} is an apocalyptic number.

10970290130688 is a gapful number since it is divisible by the number (18) 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 10970290130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644529076992).

10970290130688 is an abundant number, since it is smaller than the sum of its proper divisors (26318768023296).

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

10970290130688 is a wasteful number, since it uses less digits than its factorization.

10970290130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10970290130688 in words is "ten trillion, nine hundred seventy billion, two hundred ninety million, one hundred thirty thousand, six hundred eighty-eight".