10948796640 has 144 divisors (see below), whose sum is σ = 38157956928. Its totient is φ = 2857540608.

The previous prime is 10948796629. The next prime is 10948796641. The reversal of 10948796640 is 4669784901.

10948796640 is a `hidden beast` number, since 10 + 9 + 487 + 96 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10948796640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10948796641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13207 + ... + 148566.

It is an arithmetic number, because the mean of its divisors is an integer number (264985812).

Almost surely, 2^10948796640 is an apocalyptic number.

10948796640 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 10948796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078978464).

10948796640 is an abundant number, since it is smaller than the sum of its proper divisors (27209160288).

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

10948796640 is a wasteful number, since it uses less digits than its factorization.

10948796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161841 (or 161830 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10948796640 in words is "ten billion, nine hundred forty-eight million, seven hundred ninety-six thousand, six hundred forty".