11978449560 has 1024 divisors, whose sum is σ = 54369792000. Its totient is φ = 2269347840.

The previous prime is 11978449537. The next prime is 11978449583. The reversal of 11978449560 is 6594487911.

11978449560 is a `hidden beast` number, since 1 + 1 + 9 + 78 + 4 + 4 + 9 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (11978449537) and next prime (11978449583).

It is a super-2 number, since 2×11978449560² (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 a junction number, because it is equal to n+sod(n) for n = 11978449497 and 11978449506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52307526 + ... + 52307754.

It is an arithmetic number, because the mean of its divisors is an integer number (53095500).

Almost surely, 2^11978449560 is an apocalyptic number.

11978449560 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 11978449560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27184896000).

11978449560 is an abundant number, since it is smaller than the sum of its proper divisors (42391342440).

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

11978449560 is a wasteful number, since it uses less digits than its factorization.

11978449560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11978449560 in words is "eleven billion, nine hundred seventy-eight million, four hundred forty-nine thousand, five hundred sixty".