11837819280 has 320 divisors, whose sum is σ = 44485724160. Its totient is φ = 2543726592.

The previous prime is 11837819251. The next prime is 11837819281. The reversal of 11837819280 is 8291873811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11837819281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4371687 + ... + 4374393.

It is an arithmetic number, because the mean of its divisors is an integer number (139017888).

Almost surely, 2^11837819280 is an apocalyptic number.

11837819280 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 11837819280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22242862080).

11837819280 is an abundant number, since it is smaller than the sum of its proper divisors (32647904880).

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

11837819280 is a wasteful number, since it uses less digits than its factorization.

11837819280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The spelling of 11837819280 in words is "eleven billion, eight hundred thirty-seven million, eight hundred nineteen thousand, two hundred eighty".