11785273600 has 243 divisors, whose sum is σ = 31019418493. Its totient is φ = 4432721920.

The previous prime is 11785273589. The next prime is 11785273601. The reversal of 11785273600 is 637258711.

The square root of 11785273600 is 108560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4242698496 + 7542575104 = 65136^2 + 86848^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11785273601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199750371 + ... + 199750429.

Almost surely, 2^11785273600 is an apocalyptic number.

11785273600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11785273600 is the 108560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11785273600

11785273600 is an abundant number, since it is smaller than the sum of its proper divisors (19234144893).

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

11785273600 is an frugal number, since it uses more digits than its factorization.

11785273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 11785273600 in words is "eleven billion, seven hundred eighty-five million, two hundred seventy-three thousand, six hundred".