11582787350400 has 384 divisors, whose sum is σ = 43616935599360. Its totient is φ = 2646521856000.

The previous prime is 11582787350389. The next prime is 11582787350429. The reversal of 11582787350400 is 405378728511.

11582787350400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191556972 + ... + 191617428.

It is an arithmetic number, because the mean of its divisors is an integer number (113585769790).

Almost surely, 2^{11582787350400} is an apocalyptic number.

11582787350400 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 11582787350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21808467799680).

11582787350400 is an abundant number, since it is smaller than the sum of its proper divisors (32034148248960).

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

11582787350400 is a wasteful number, since it uses less digits than its factorization.

11582787350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63342 (or 63325 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 11582787350400 in words is "eleven trillion, five hundred eighty-two billion, seven hundred eighty-seven million, three hundred fifty thousand, four hundred".