10701936960 has 672 divisors, whose sum is σ = 42451812480. Its totient is φ = 2262712320.

The previous prime is 10701936923. The next prime is 10701937013. The reversal of 10701936960 is 6963910701.

It is a super-2 number, since 2×10701936960² (a number of 21 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 95 ways as a sum of consecutive naturals, for example, 28691334 + ... + 28691706.

It is an arithmetic number, because the mean of its divisors is an integer number (63172340).

Almost surely, 2^10701936960 is an apocalyptic number.

10701936960 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 10701936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225906240).

10701936960 is an abundant number, since it is smaller than the sum of its proper divisors (31749875520).

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

10701936960 is a wasteful number, since it uses less digits than its factorization.

10701936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The spelling of 10701936960 in words is "ten billion, seven hundred one million, nine hundred thirty-six thousand, nine hundred sixty".