11585700000 has 576 divisors, whose sum is σ = 48349405440. Its totient is φ = 2643840000.

The previous prime is 11585699963. The next prime is 11585700019. The reversal of 11585700000 is 758511.

11585700000 is a `hidden beast` number, since 11 + 585 + 70 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18899694 + ... + 18900306.

It is an arithmetic number, because the mean of its divisors is an integer number (83939940).

Almost surely, 2^11585700000 is an apocalyptic number.

11585700000 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 11585700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24174702720).

11585700000 is an abundant number, since it is smaller than the sum of its proper divisors (36763705440).

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

11585700000 is an frugal number, since it uses more digits than its factorization.

11585700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The spelling of 11585700000 in words is "eleven billion, five hundred eighty-five million, seven hundred thousand".