10932194904400 has 480 divisors, whose sum is σ = 33732483840000. Its totient is φ = 3305798092800.

The previous prime is 10932194904343. The next prime is 10932194904403. The reversal of 10932194904400 is 440949123901.

It is a super-3 number, since 3×10932194904400³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10932194904403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197307901 + ... + 197363299.

It is an arithmetic number, because the mean of its divisors is an integer number (70276008000).

Almost surely, 2^{10932194904400} is an apocalyptic number.

10932194904400 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 10932194904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866241920000).

10932194904400 is an abundant number, since it is smaller than the sum of its proper divisors (22800288935600).

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

10932194904400 is a wasteful number, since it uses less digits than its factorization.

10932194904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55627 (or 55616 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 10932194904400 in words is "ten trillion, nine hundred thirty-two billion, one hundred ninety-four million, nine hundred four thousand, four hundred".