10928632104000 has 2520 divisors, whose sum is σ = 46952544110472. Its totient is φ = 2494092902400.

The previous prime is 10928632103989. The next prime is 10928632104007. The reversal of 10928632104000 is 40123682901.

10928632104000 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 8 + 632 + 10 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6685658320896 + 4242973783104 = 2585664^2 + 2059848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928632104007) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 163113911967 + ... + 163113912033.

Almost surely, 2^{10928632104000} is an apocalyptic number.

10928632104000 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 10928632104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23476272055236).

10928632104000 is an abundant number, since it is smaller than the sum of its proper divisors (36023912006472).

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

10928632104000 is an equidigital number, since it uses as much as digits as its factorization.

10928632104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 10928632104000 its reverse (40123682901), we get a palindrome (10968755786901).

The spelling of 10928632104000 in words is "ten trillion, nine hundred twenty-eight billion, six hundred thirty-two million, one hundred four thousand".