11479670784000 has 2176 divisors, whose sum is σ = 46638962472960. Its totient is φ = 2774532096000.

The previous prime is 11479670783969. The next prime is 11479670784083. The reversal of 11479670784000 is 48707697411.

It is a happy number.

11479670784000 is a `hidden beast` number, since 1 + 1 + 479 + 67 + 0 + 78 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2176).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161685503965 + ... + 161685504035.

Almost surely, 2^{11479670784000} is an apocalyptic number.

11479670784000 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 11479670784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23319481236480).

11479670784000 is an abundant number, since it is smaller than the sum of its proper divisors (35159291688960).

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

11479670784000 is an frugal number, since it uses more digits than its factorization.

11479670784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 141 counting only the distinct ones).

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

The spelling of 11479670784000 in words is "eleven trillion, four hundred seventy-nine billion, six hundred seventy million, seven hundred eighty-four thousand".