11870724096 has 896 divisors, whose sum is σ = 47560504320. Its totient is φ = 2831155200.

The previous prime is 11870724083. The next prime is 11870724101. The reversal of 11870724096 is 69042707811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289529836 + ... + 289529876.

It is an arithmetic number, because the mean of its divisors is an integer number (53080920).

Almost surely, 2^11870724096 is an apocalyptic number.

11870724096 is a gapful number since it is divisible by the number (16) 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 11870724096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780252160).

11870724096 is an abundant number, since it is smaller than the sum of its proper divisors (35689780224).

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

11870724096 is a wasteful number, since it uses less digits than its factorization.

11870724096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11870724096 in words is "eleven billion, eight hundred seventy million, seven hundred twenty-four thousand, ninety-six".