11935009800 has 960 divisors, whose sum is σ = 51724189440. Its totient is φ = 2488320000.

The previous prime is 11935009763. The next prime is 11935009859. The reversal of 11935009800 is 890053911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 79039725 + ... + 79039875.

It is an arithmetic number, because the mean of its divisors is an integer number (53879364).

Almost surely, 2^11935009800 is an apocalyptic number.

11935009800 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 11935009800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862094720).

11935009800 is an abundant number, since it is smaller than the sum of its proper divisors (39789179640).

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

11935009800 is a wasteful number, since it uses less digits than its factorization.

11935009800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 11935009800 in words is "eleven billion, nine hundred thirty-five million, nine thousand, eight hundred".