11642757120 has 168 divisors, whose sum is σ = 40360372416. Its totient is φ = 3104636928.

The previous prime is 11642757103. The next prime is 11642757127. The reversal of 11642757120 is 2175724611.

11642757120 is a `hidden beast` number, since 1 + 1 + 64 + 2 + 7 + 571 + 20 = 666.

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 (11642757127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352849 + ... + 384431.

It is an arithmetic number, because the mean of its divisors is an integer number (240240312).

Almost surely, 2^11642757120 is an apocalyptic number.

11642757120 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 11642757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180186208).

11642757120 is an abundant number, since it is smaller than the sum of its proper divisors (28717615296).

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

11642757120 is an equidigital number, since it uses as much as digits as its factorization.

11642757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31620 (or 31593 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11642757120 in words is "eleven billion, six hundred forty-two million, seven hundred fifty-seven thousand, one hundred twenty".