10850438700 has 288 divisors, whose sum is σ = 37938196800. Its totient is φ = 2649231360.

The previous prime is 10850438689. The next prime is 10850438701. The reversal of 10850438700 is 783405801.

10850438700 is a `hidden beast` number, since 108 + 50 + 438 + 70 + 0 = 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 (10850438701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1695106 + ... + 1701494.

It is an arithmetic number, because the mean of its divisors is an integer number (131729850).

Almost surely, 2^10850438700 is an apocalyptic number.

10850438700 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 10850438700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969098400).

10850438700 is an abundant number, since it is smaller than the sum of its proper divisors (27087758100).

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

10850438700 is a wasteful number, since it uses less digits than its factorization.

10850438700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10850438700 in words is "ten billion, eight hundred fifty million, four hundred thirty-eight thousand, seven hundred".