10932645776640 has 288 divisors, whose sum is σ = 40580504616960. Its totient is φ = 2456536031232.

The previous prime is 10932645776639. The next prime is 10932645776641. The reversal of 10932645776640 is 4667754623901.

10932645776640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10932645776639) and next prime (10932645776641).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10932645776641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1860864 + ... + 5032703.

It is an arithmetic number, because the mean of its divisors is an integer number (140904529920).

Almost surely, 2^{10932645776640} is an apocalyptic number.

10932645776640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10932645776640 is an abundant number, since it is smaller than the sum of its proper divisors (29647858840320).

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

10932645776640 is an equidigital number, since it uses as much as digits as its factorization.

10932645776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893657 (or 6893643 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 10932645776640 in words is "ten trillion, nine hundred thirty-two billion, six hundred forty-five million, seven hundred seventy-six thousand, six hundred forty".