11578022400 has 480 divisors, whose sum is σ = 46032053760. Its totient is φ = 2506014720.

The previous prime is 11578022399. The next prime is 11578022411. The reversal of 11578022400 is 422087511.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5106067 + ... + 5108333.

It is an arithmetic number, because the mean of its divisors is an integer number (95900112).

Almost surely, 2^11578022400 is an apocalyptic number.

11578022400 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 11578022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016026880).

11578022400 is an abundant number, since it is smaller than the sum of its proper divisors (34454031360).

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

11578022400 is a wasteful number, since it uses less digits than its factorization.

11578022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 11578022400 in words is "eleven billion, five hundred seventy-eight million, twenty-two thousand, four hundred".