11671398760320 has 1280 divisors, whose sum is σ = 47741531745600. Its totient is φ = 2693405343744.

The previous prime is 11671398760291. The next prime is 11671398760331. The reversal of 11671398760320 is 2306789317611.

11671398760320 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 1 + 3 + 9 + 8 + 7 + 603 + 20 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1242029862 + ... + 1242039258.

Almost surely, 2^{11671398760320} is an apocalyptic number.

11671398760320 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 11671398760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870765872800).

11671398760320 is an abundant number, since it is smaller than the sum of its proper divisors (36070132985280).

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

11671398760320 is a wasteful number, since it uses less digits than its factorization.

11671398760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 11671398760320 in words is "eleven trillion, six hundred seventy-one billion, three hundred ninety-eight million, seven hundred sixty thousand, three hundred twenty".