11356478138880 has 2560 divisors, whose sum is σ = 49734416793600. Its totient is φ = 2401527398400.

The previous prime is 11356478138773. The next prime is 11356478138891. The reversal of 11356478138880 is 8883187465311.

11356478138880 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 6 + 478 + 1 + 3 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

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, 36282677604 + ... + 36282677916.

It is an arithmetic number, because the mean of its divisors is an integer number (19427506560).

Almost surely, 2^{11356478138880} is an apocalyptic number.

11356478138880 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 11356478138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24867208396800).

11356478138880 is an abundant number, since it is smaller than the sum of its proper divisors (38377938654720).

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

11356478138880 is a wasteful number, since it uses less digits than its factorization.

11356478138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 11356478138880 in words is "eleven trillion, three hundred fifty-six billion, four hundred seventy-eight million, one hundred thirty-eight thousand, eight hundred eighty".