11719662007680 has 1536 divisors, whose sum is σ = 46802160460800. Its totient is φ = 2782563840000.

The previous prime is 11719662007643. The next prime is 11719662007717. The reversal of 11719662007680 is 8670026691711.

11719662007680 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 9 + 6 + 620 + 0 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11719662007643) and next prime (11719662007717).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77613655605 + ... + 77613655755.

It is an arithmetic number, because the mean of its divisors is an integer number (30470156550).

Almost surely, 2^{11719662007680} is an apocalyptic number.

11719662007680 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 11719662007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23401080230400).

11719662007680 is an abundant number, since it is smaller than the sum of its proper divisors (35082498453120).

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

11719662007680 is an frugal number, since it uses more digits than its factorization.

11719662007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11719662007680 in words is "eleven trillion, seven hundred nineteen billion, six hundred sixty-two million, seven thousand, six hundred eighty".