11870792220672 has 2304 divisors, whose sum is σ = 47058869491200. Its totient is φ = 2942985830400.

The previous prime is 11870792220671. The next prime is 11870792220709. The reversal of 11870792220672 is 27602229707811.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (11870792220671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162613592028 + ... + 162613592100.

It is an arithmetic number, because the mean of its divisors is an integer number (20424856550).

Almost surely, 2^{11870792220672} is an apocalyptic number.

11870792220672 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 11870792220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23529434745600).

11870792220672 is an abundant number, since it is smaller than the sum of its proper divisors (35188077270528).

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

11870792220672 is an equidigital number, since it uses as much as digits as its factorization.

11870792220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 11870792220672 in words is "eleven trillion, eight hundred seventy billion, seven hundred ninety-two million, two hundred twenty thousand, six hundred seventy-two".