10896957120 has 336 divisors, whose sum is σ = 40745956608. Its totient is φ = 2459842560.

The previous prime is 10896957073. The next prime is 10896957131. The reversal of 10896957120 is 2175969801.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10896957120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3902925 + ... + 3905715.

It is an arithmetic number, because the mean of its divisors is an integer number (121267728).

Almost surely, 2^10896957120 is an apocalyptic number.

10896957120 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 10896957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20372978304).

10896957120 is an abundant number, since it is smaller than the sum of its proper divisors (29848999488).

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

10896957120 is a wasteful number, since it uses less digits than its factorization.

10896957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 10896957120 in words is "ten billion, eight hundred ninety-six million, nine hundred fifty-seven thousand, one hundred twenty".