10850633640 has 1280 divisors, whose sum is σ = 49779671040. Its totient is φ = 2052864000.

The previous prime is 10850633627. The next prime is 10850633657. The reversal of 10850633640 is 4633605801.

10850633640 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 0 + 6 + 3 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10850633595 and 10850633604.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 177879210 + ... + 177879270.

It is an arithmetic number, because the mean of its divisors is an integer number (38890368).

Almost surely, 2^10850633640 is an apocalyptic number.

10850633640 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 10850633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24889835520).

10850633640 is an abundant number, since it is smaller than the sum of its proper divisors (38929037400).

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

10850633640 is a wasteful number, since it uses less digits than its factorization.

10850633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10850633640 in words is "ten billion, eight hundred fifty million, six hundred thirty-three thousand, six hundred forty".