53612140032 has 800 divisors, whose sum is σ = 191651733504. Its totient is φ = 14730854400.

The previous prime is 53612140013. The next prime is 53612140033. The reversal of 53612140032 is 23004121635.

53612140032 is a `hidden beast` number, since 5 + 3 + 612 + 1 + 40 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×53612140032² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 53612139978 and 53612140005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53612140033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 240413073 + ... + 240413295.

Almost surely, 2^53612140032 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 53612140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95825866752).

53612140032 is an abundant number, since it is smaller than the sum of its proper divisors (138039593472).

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

53612140032 is a wasteful number, since it uses less digits than its factorization.

53612140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 53612140032 its reverse (23004121635), we get a palindrome (76616261667).

The spelling of 53612140032 in words is "fifty-three billion, six hundred twelve million, one hundred forty thousand, thirty-two".