11578635264 has 352 divisors, whose sum is σ = 39333841920. Its totient is φ = 2947940352.

The previous prime is 11578635251. The next prime is 11578635269. The reversal of 11578635264 is 46253687511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11578635269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6944959 + ... + 6946625.

Almost surely, 2^11578635264 is an apocalyptic number.

11578635264 is a gapful number since it is divisible by the number (14) 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 11578635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19666920960).

11578635264 is an abundant number, since it is smaller than the sum of its proper divisors (27755206656).

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

11578635264 is a wasteful number, since it uses less digits than its factorization.

11578635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1715 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 11578635264 in words is "eleven billion, five hundred seventy-eight million, six hundred thirty-five thousand, two hundred sixty-four".