10796385600 has 1512 divisors, whose sum is σ = 52931799648. Its totient is φ = 2051481600.

The previous prime is 10796385583. The next prime is 10796385601. The reversal of 10796385600 is 658369701.

It is a happy number.

10796385600 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 6 + 38 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10796385601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 100900747 + ... + 100900853.

It is an arithmetic number, because the mean of its divisors is an integer number (35007804).

Almost surely, 2^10796385600 is an apocalyptic number.

10796385600 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 10796385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26465899824).

10796385600 is an abundant number, since it is smaller than the sum of its proper divisors (42135414048).

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

10796385600 is a wasteful number, since it uses less digits than its factorization.

10796385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10796385600 in words is "ten billion, seven hundred ninety-six million, three hundred eighty-five thousand, six hundred".