11785378500 has 672 divisors, whose sum is σ = 45832550400. Its totient is φ = 2589408000.

The previous prime is 11785378471. The next prime is 11785378511. The reversal of 11785378500 is 587358711.

11785378500 is a `hidden beast` number, since 1 + 1 + 78 + 5 + 3 + 78 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 79096426 + ... + 79096574.

It is an arithmetic number, because the mean of its divisors is an integer number (68203200).

Almost surely, 2^11785378500 is an apocalyptic number.

11785378500 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 11785378500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22916275200).

11785378500 is an abundant number, since it is smaller than the sum of its proper divisors (34047171900).

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

11785378500 is a wasteful number, since it uses less digits than its factorization.

11785378500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 11785378500 in words is "eleven billion, seven hundred eighty-five million, three hundred seventy-eight thousand, five hundred".