11785430580 has 768 divisors, whose sum is σ = 46077050880. Its totient is φ = 2177280000.

The previous prime is 11785430539. The next prime is 11785430581. The reversal of 11785430580 is 8503458711.

It is a super-3 number, since 3×11785430580³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11785430581) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 165991945 + ... + 165992015.

It is an arithmetic number, because the mean of its divisors is an integer number (59996160).

Almost surely, 2^11785430580 is an apocalyptic number.

11785430580 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 11785430580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23038525440).

11785430580 is an abundant number, since it is smaller than the sum of its proper divisors (34291620300).

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

11785430580 is a wasteful number, since it uses less digits than its factorization.

11785430580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 11785430580 in words is "eleven billion, seven hundred eighty-five million, four hundred thirty thousand, five hundred eighty".