11261581632 has 560 divisors, whose sum is σ = 40503969792. Its totient is φ = 3024552960.

The previous prime is 11261581619. The next prime is 11261581649. The reversal of 11261581632 is 23618516211.

11261581632 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 15 + 8 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (17280) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85966207 + ... + 85966337.

Almost surely, 2^11261581632 is an apocalyptic number.

11261581632 is a gapful number since it is divisible by the number (12) 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 11261581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20251984896).

11261581632 is an abundant number, since it is smaller than the sum of its proper divisors (29242388160).

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

11261581632 is a wasteful number, since it uses less digits than its factorization.

11261581632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 11261581632 in words is "eleven billion, two hundred sixty-one million, five hundred eighty-one thousand, six hundred thirty-two".