653523710112 has 1152 divisors, whose sum is σ = 2469244377600. Its totient is φ = 165435457536.

The previous prime is 653523710107. The next prime is 653523710113. The reversal of 653523710112 is 211017325356.

653523710112 is a `hidden beast` number, since 6 + 5 + 3 + 523 + 7 + 10 + 112 = 666.

It is a super-2 number, since 2×653523710112² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (653523710113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2853815214 + ... + 2853815442.

It is an arithmetic number, because the mean of its divisors is an integer number (2143441300).

Almost surely, 2^653523710112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653523710112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234622188800).

653523710112 is an abundant number, since it is smaller than the sum of its proper divisors (1815720667488).

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

653523710112 is a wasteful number, since it uses less digits than its factorization.

653523710112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 653523710112 in words is "six hundred fifty-three billion, five hundred twenty-three million, seven hundred ten thousand, one hundred twelve".