11829162240 has 504 divisors, whose sum is σ = 48578096448. Its totient is φ = 2702315520.

The previous prime is 11829162239. The next prime is 11829162281. The reversal of 11829162240 is 4226192811.

11829162240 is a `hidden beast` number, since 1 + 1 + 8 + 29 + 1 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 11829162195 and 11829162204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6530935 + ... + 6532745.

It is an arithmetic number, because the mean of its divisors is an integer number (96385112).

Almost surely, 2^11829162240 is an apocalyptic number.

11829162240 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 11829162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24289048224).

11829162240 is an abundant number, since it is smaller than the sum of its proper divisors (36748934208).

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

11829162240 is an frugal number, since it uses more digits than its factorization.

11829162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11829162240 in words is "eleven billion, eight hundred twenty-nine million, one hundred sixty-two thousand, two hundred forty".