11785353700 has 144 divisors (see below), whose sum is σ = 28156197888. Its totient is φ = 4262400000.

The previous prime is 11785353689. The next prime is 11785353707. The reversal of 11785353700 is 735358711.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11785353707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7956960 + ... + 7958440.

It is an arithmetic number, because the mean of its divisors is an integer number (195529152).

Almost surely, 2^11785353700 is an apocalyptic number.

11785353700 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 11785353700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078098944).

11785353700 is an abundant number, since it is smaller than the sum of its proper divisors (16370844188).

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

11785353700 is a wasteful number, since it uses less digits than its factorization.

11785353700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 11785353700 in words is "eleven billion, seven hundred eighty-five million, three hundred fifty-three thousand, seven hundred".