61828950163200 has 648 divisors, whose sum is σ = 226987555449984. Its totient is φ = 14808201830400.

The previous prime is 61828950163153. The next prime is 61828950163207. The reversal of 61828950163200 is 236105982816.

61828950163200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61828950163207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 192665277 + ... + 192985923.

Almost surely, 2^{61828950163200} is an apocalyptic number.

61828950163200 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 61828950163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113493777724992).

61828950163200 is an abundant number, since it is smaller than the sum of its proper divisors (165158605286784).

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

61828950163200 is a wasteful number, since it uses less digits than its factorization.

61828950163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320781 (or 320751 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 61828950163200 in words is "sixty-one trillion, eight hundred twenty-eight billion, nine hundred fifty million, one hundred sixty-three thousand, two hundred".