11578457088000 has 1344 divisors, whose sum is σ = 47071357744320. Its totient is φ = 2806087680000.

The previous prime is 11578457087999. The next prime is 11578457088007. The reversal of 11578457088000 is 88075487511.

11578457088000 is a `hidden beast` number, since 11 + 57 + 8 + 4 + 570 + 8 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11578457088007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3345406270 + ... + 3345409730.

It is an arithmetic number, because the mean of its divisors is an integer number (35023331655).

Almost surely, 2^{11578457088000} is an apocalyptic number.

11578457088000 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 11578457088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23535678872160).

11578457088000 is an abundant number, since it is smaller than the sum of its proper divisors (35492900656320).

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

11578457088000 is an equidigital number, since it uses as much as digits as its factorization.

11578457088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 54.

The spelling of 11578457088000 in words is "eleven trillion, five hundred seventy-eight billion, four hundred fifty-seven million, eighty-eight thousand".