10785501216 has 480 divisors, whose sum is σ = 38990730240. Its totient is φ = 2854600704.

The previous prime is 10785501211. The next prime is 10785501217. The reversal of 10785501216 is 61210558701.

10785501216 is a `hidden beast` number, since 10 + 78 + 550 + 1 + 21 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10785501211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22516465 + ... + 22516943.

It is an arithmetic number, because the mean of its divisors is an integer number (81230688).

Almost surely, 2^10785501216 is an apocalyptic number.

10785501216 is a gapful number since it is divisible by the number (16) 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 10785501216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19495365120).

10785501216 is an abundant number, since it is smaller than the sum of its proper divisors (28205229024).

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

10785501216 is a wasteful number, since it uses less digits than its factorization.

10785501216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 10785501216 in words is "ten billion, seven hundred eighty-five million, five hundred one thousand, two hundred sixteen".