11790919680 has 192 divisors, whose sum is σ = 39709051200. Its totient is φ = 2978611200.

The previous prime is 11790919639. The next prime is 11790919739. The reversal of 11790919680 is 8691909711.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11790919680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573580 + ... + 593780.

It is an arithmetic number, because the mean of its divisors is an integer number (206817975).

Almost surely, 2^11790919680 is an apocalyptic number.

11790919680 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 11790919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19854525600).

11790919680 is an abundant number, since it is smaller than the sum of its proper divisors (27918131520).

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

11790919680 is a wasteful number, since it uses less digits than its factorization.

11790919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20250 (or 20230 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 51.

The spelling of 11790919680 in words is "eleven billion, seven hundred ninety million, nine hundred nineteen thousand, six hundred eighty".