10970831963520 has 1536 divisors, whose sum is σ = 46917507087360. Its totient is φ = 2414466662400.

The previous prime is 10970831963491. The next prime is 10970831963579. The reversal of 10970831963520 is 2536913807901.

10970831963520 is a `hidden beast` number, since 10 + 9 + 70 + 8 + 31 + 9 + 6 + 3 + 520 = 666.

It is a super-2 number, since 2×10970831963520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1356596917 + ... + 1356605003.

It is an arithmetic number, because the mean of its divisors is an integer number (30545252010).

Almost surely, 2^{10970831963520} is an apocalyptic number.

10970831963520 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 10970831963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23458753543680).

10970831963520 is an abundant number, since it is smaller than the sum of its proper divisors (35946675123840).

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

10970831963520 is a wasteful number, since it uses less digits than its factorization.

10970831963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206 (or 8182 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

It can be divided in two parts, 1097083 and 1963520, that added together give a palindrome (3060603).

The spelling of 10970831963520 in words is "ten trillion, nine hundred seventy billion, eight hundred thirty-one million, nine hundred sixty-three thousand, five hundred twenty".