10970538297264 has 1280 divisors, whose sum is σ = 43341225984000. Its totient is φ = 2573054263296.

The previous prime is 10970538297211. The next prime is 10970538297293. The reversal of 10970538297264 is 46279283507901.

10970538297264 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 0 + 538 + 2 + 97 + 2 + 6 + 4 = 666.

10970538297264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10970538297264² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1275788037 + ... + 1275796635.

It is an arithmetic number, because the mean of its divisors is an integer number (33860332800).

It is a 1-persistent number, because it is pandigital, but 2⋅10970538297264 = 21941076594528 is not.

Almost surely, 2^{10970538297264} is an apocalyptic number.

10970538297264 is a gapful number since it is divisible by the number (14) 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 10970538297264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670612992000).

10970538297264 is an abundant number, since it is smaller than the sum of its proper divisors (32370687686736).

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

10970538297264 is a wasteful number, since it uses less digits than its factorization.

10970538297264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8759 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 10970538297264 in words is "ten trillion, nine hundred seventy billion, five hundred thirty-eight million, two hundred ninety-seven thousand, two hundred sixty-four".