11631876480 has 1024 divisors, whose sum is σ = 50902732800. Its totient is φ = 2452488192.

The previous prime is 11631876479. The next prime is 11631876511. The reversal of 11631876480 is 8467813611.

11631876480 is a `hidden beast` number, since 1 + 1 + 631 + 8 + 7 + 6 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102936904 + ... + 102937016.

It is an arithmetic number, because the mean of its divisors is an integer number (49709700).

Almost surely, 2^11631876480 is an apocalyptic number.

11631876480 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 11631876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25451366400).

11631876480 is an abundant number, since it is smaller than the sum of its proper divisors (39270856320).

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

11631876480 is a wasteful number, since it uses less digits than its factorization.

11631876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11631876480 in words is "eleven billion, six hundred thirty-one million, eight hundred seventy-six thousand, four hundred eighty".