11535856080 has 480 divisors, whose sum is σ = 45063972864. Its totient is φ = 2386492416.

The previous prime is 11535856067. The next prime is 11535856093. The reversal of 11535856080 is 8065853511.

It is an interprime number because it is at equal distance from previous prime (11535856067) and next prime (11535856093).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 13948627 + ... + 13949453.

Almost surely, 2^11535856080 is an apocalyptic number.

11535856080 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 11535856080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22531986432).

11535856080 is an abundant number, since it is smaller than the sum of its proper divisors (33528116784).

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

11535856080 is a wasteful number, since it uses less digits than its factorization.

11535856080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 11535856080 in words is "eleven billion, five hundred thirty-five million, eight hundred fifty-six thousand, eighty".