61256852133120 has 432 divisors, whose sum is σ = 242455068640512. Its totient is φ = 13987966648320.

The previous prime is 61256852133119. The next prime is 61256852133137. The reversal of 61256852133120 is 2133125865216.

It is a happy number.

61256852133120 is a `hidden beast` number, since 6 + 1 + 2 + 568 + 52 + 1 + 3 + 31 + 2 + 0 = 666.

61256852133120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82771444 + ... + 83508236.

It is an arithmetic number, because the mean of its divisors is an integer number (561238584816).

Almost surely, 2^{61256852133120} is an apocalyptic number.

61256852133120 is a gapful number since it is divisible by the number (60) 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 61256852133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121227534320256).

61256852133120 is an abundant number, since it is smaller than the sum of its proper divisors (181198216507392).

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

61256852133120 is a wasteful number, since it uses less digits than its factorization.

61256852133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737858 (or 737841 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

Adding to 61256852133120 its reverse (2133125865216), we get a palindrome (63389977998336).

The spelling of 61256852133120 in words is "sixty-one trillion, two hundred fifty-six billion, eight hundred fifty-two million, one hundred thirty-three thousand, one hundred twenty".