11879457408 has 448 divisors, whose sum is σ = 43702512000. Its totient is φ = 3130804224.

The previous prime is 11879457379. The next prime is 11879457409. The reversal of 11879457408 is 80475497811.

11879457408 is a `hidden beast` number, since 1 + 187 + 9 + 4 + 57 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×11879457408² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11879457409) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8490693 + ... + 8492091.

It is an arithmetic number, because the mean of its divisors is an integer number (97550250).

Almost surely, 2^11879457408 is an apocalyptic number.

11879457408 is a gapful number since it is divisible by the number (18) 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 11879457408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21851256000).

11879457408 is an abundant number, since it is smaller than the sum of its proper divisors (31823054592).

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

11879457408 is an equidigital number, since it uses as much as digits as its factorization.

11879457408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 11879457408 in words is "eleven billion, eight hundred seventy-nine million, four hundred fifty-seven thousand, four hundred eight".