11830135572 has 72 divisors (see below), whose sum is σ = 30658478760. Its totient is φ = 3844039680.

The previous prime is 11830135549. The next prime is 11830135573. The reversal of 11830135572 is 27553103811.

It is a happy number.

11830135572 is a `hidden beast` number, since 1 + 1 + 83 + 0 + 1 + 3 + 5 + 572 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2268036 + 11827867536 = 1506^2 + 108756^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11830135573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378304 + ... + 2383272.

It is an arithmetic number, because the mean of its divisors is an integer number (425812205).

Almost surely, 2^11830135572 is an apocalyptic number.

11830135572 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 11830135572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329239380).

11830135572 is an abundant number, since it is smaller than the sum of its proper divisors (18828343188).

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

11830135572 is a wasteful number, since it uses less digits than its factorization.

11830135572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6633 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11830135572 in words is "eleven billion, eight hundred thirty million, one hundred thirty-five thousand, five hundred seventy-two".