10933772850 has 1152 divisors, whose sum is σ = 43677204480. Its totient is φ = 1959552000.

The previous prime is 10933772807. The next prime is 10933772891. The reversal of 10933772850 is 5827733901.

It is a happy number.

10933772850 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10933772796 and 10933772805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 352702335 + ... + 352702365.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 2^10933772850 is an apocalyptic number.

10933772850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10933772850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21838602240).

10933772850 is an abundant number, since it is smaller than the sum of its proper divisors (32743431630).

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

10933772850 is a wasteful number, since it uses less digits than its factorization.

10933772850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10933772850 in words is "ten billion, nine hundred thirty-three million, seven hundred seventy-two thousand, eight hundred fifty".