11287516838400 has 2880 divisors, whose sum is σ = 49812040396800. Its totient is φ = 2473390080000.

The previous prime is 11287516838293. The next prime is 11287516838441. The reversal of 11287516838400 is 483861578211.

11287516838400 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 7 + 516 + 83 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158979110365 + ... + 158979110435.

It is an arithmetic number, because the mean of its divisors is an integer number (17295847360).

Almost surely, 2^{11287516838400} is an apocalyptic number.

11287516838400 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 11287516838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24906020198400).

11287516838400 is an abundant number, since it is smaller than the sum of its proper divisors (38524523558400).

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

11287516838400 is a wasteful number, since it uses less digits than its factorization.

11287516838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 11287516838400 in words is "eleven trillion, two hundred eighty-seven billion, five hundred sixteen million, eight hundred thirty-eight thousand, four hundred".