10832648400 has 960 divisors, whose sum is σ = 46902950400. Its totient is φ = 2351462400.

The previous prime is 10832648383. The next prime is 10832648443. The reversal of 10832648400 is 484623801.

10832648400 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 2 + 648 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177584370 + ... + 177584430.

It is an arithmetic number, because the mean of its divisors is an integer number (48857240).

Almost surely, 2^10832648400 is an apocalyptic number.

10832648400 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 10832648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451475200).

10832648400 is an abundant number, since it is smaller than the sum of its proper divisors (36070302000).

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

10832648400 is an equidigital number, since it uses as much as digits as its factorization.

10832648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10832648400 in words is "ten billion, eight hundred thirty-two million, six hundred forty-eight thousand, four hundred".