11478635642880 has 864 divisors, whose sum is σ = 46901042522880. Its totient is φ = 2609192632320.

The previous prime is 11478635642869. The next prime is 11478635642891. The reversal of 11478635642880 is 8824653687411.

11478635642880 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 8 + 63 + 564 + 2 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11478635642869) and next prime (11478635642891).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63417876390 + ... + 63417876570.

Almost surely, 2^{11478635642880} is an apocalyptic number.

11478635642880 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 11478635642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23450521261440).

11478635642880 is an abundant number, since it is smaller than the sum of its proper divisors (35422406880000).

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

11478635642880 is an frugal number, since it uses more digits than its factorization.

11478635642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 11478635642880 in words is "eleven trillion, four hundred seventy-eight billion, six hundred thirty-five million, six hundred forty-two thousand, eight hundred eighty".