11780245400 has 288 divisors, whose sum is σ = 34678717920. Its totient is φ = 3642777600.

The previous prime is 11780245381. The next prime is 11780245403. The reversal of 11780245400 is 454208711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11780245403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33371624 + ... + 33371976.

It is an arithmetic number, because the mean of its divisors is an integer number (120412215).

Almost surely, 2^11780245400 is an apocalyptic number.

11780245400 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 11780245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339358960).

11780245400 is an abundant number, since it is smaller than the sum of its proper divisors (22898472520).

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

11780245400 is a wasteful number, since it uses less digits than its factorization.

11780245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 11780245400 in words is "eleven billion, seven hundred eighty million, two hundred forty-five thousand, four hundred".