10785601008 has 200 divisors, whose sum is σ = 38420922848. Its totient is φ = 2844523008.

The previous prime is 10785600997. The next prime is 10785601037. The reversal of 10785601008 is 80010658701.

10785601008 is a `hidden beast` number, since 10 + 78 + 560 + 10 + 0 + 8 = 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 39 ways as a sum of consecutive naturals, for example, 72210 + ... + 163662.

Almost surely, 2^10785601008 is an apocalyptic number.

10785601008 is a gapful number since it is divisible by the number (18) 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 10785601008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19210461424).

10785601008 is an abundant number, since it is smaller than the sum of its proper divisors (27635321840).

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

10785601008 is a wasteful number, since it uses less digits than its factorization.

10785601008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91493 (or 91478 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 10785601008 in words is "ten billion, seven hundred eighty-five million, six hundred one thousand, eight".