11798047872 has 640 divisors, whose sum is σ = 42298502400. Its totient is φ = 3224862720.

The previous prime is 11798047871. The next prime is 11798047897. The reversal of 11798047872 is 27874089711.

11798047872 is a `hidden beast` number, since 1 + 17 + 98 + 0 + 478 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11798047871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43535097 + ... + 43535367.

It is an arithmetic number, because the mean of its divisors is an integer number (66091410).

Almost surely, 2^11798047872 is an apocalyptic number.

11798047872 is a gapful number since it is divisible by the number (12) 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 11798047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21149251200).

11798047872 is an abundant number, since it is smaller than the sum of its proper divisors (30500454528).

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

11798047872 is a wasteful number, since it uses less digits than its factorization.

11798047872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 11798047872 in words is "eleven billion, seven hundred ninety-eight million, forty-seven thousand, eight hundred seventy-two".