11480008296960 has 1920 divisors, whose sum is σ = 49792681635840. Its totient is φ = 2451252215808.

The previous prime is 11480008296949. The next prime is 11480008296973. The reversal of 11480008296960 is 6969280008411.

11480008296960 is a `hidden beast` number, since 11 + 480 + 0 + 0 + 8 + 2 + 96 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 11480008296897 and 11480008296906.

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, 24582458647 + ... + 24582459113.

It is an arithmetic number, because the mean of its divisors is an integer number (25933688352).

Almost surely, 2^{11480008296960} is an apocalyptic number.

11480008296960 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 11480008296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896340817920).

11480008296960 is an abundant number, since it is smaller than the sum of its proper divisors (38312673338880).

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

11480008296960 is an equidigital number, since it uses as much as digits as its factorization.

11480008296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 11480008296960 in words is "eleven trillion, four hundred eighty billion, eight million, two hundred ninety-six thousand, nine hundred sixty".