11582062986816 has 1680 divisors, whose sum is σ = 44058024964800. Its totient is φ = 2987423244288.

The previous prime is 11582062986799. The next prime is 11582062986853. The reversal of 11582062986816 is 61868926028511.

11582062986816 is a `hidden beast` number, since 11 + 58 + 206 + 298 + 6 + 81 + 6 = 666.

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 239 ways as a sum of consecutive naturals, for example, 11616913230 + ... + 11616914226.

It is an arithmetic number, because the mean of its divisors is an integer number (26225014860).

Almost surely, 2^{11582062986816} is an apocalyptic number.

11582062986816 is a gapful number since it is divisible by the number (16) 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 11582062986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22029012482400).

11582062986816 is an abundant number, since it is smaller than the sum of its proper divisors (32475961977984).

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

11582062986816 is a wasteful number, since it uses less digits than its factorization.

11582062986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 11582062986816 in words is "eleven trillion, five hundred eighty-two billion, sixty-two million, nine hundred eighty-six thousand, eight hundred sixteen".