11851038720 has 640 divisors, whose sum is σ = 45675273600. Its totient is φ = 2930245632.

The previous prime is 11851038709. The next prime is 11851038757. The reversal of 11851038720 is 2783015811.

11851038720 is a `hidden beast` number, since 118 + 510 + 3 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×11851038720³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 252149737 + ... + 252149783.

It is an arithmetic number, because the mean of its divisors is an integer number (71367615).

Almost surely, 2^11851038720 is an apocalyptic number.

11851038720 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 11851038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837636800).

11851038720 is an abundant number, since it is smaller than the sum of its proper divisors (33824234880).

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

11851038720 is an frugal number, since it uses more digits than its factorization.

11851038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11851038720 in words is "eleven billion, eight hundred fifty-one million, thirty-eight thousand, seven hundred twenty".