61886788128 has 192 divisors, whose sum is σ = 197370432000. Its totient is φ = 18709966080.

The previous prime is 61886788121. The next prime is 61886788141. The reversal of 61886788128 is 82188768816.

61886788128 is a `hidden beast` number, since 618 + 8 + 6 + 7 + 8 + 8 + 1 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (61886788121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4202923 + ... + 4217621.

It is an arithmetic number, because the mean of its divisors is an integer number (1027971000).

Almost surely, 2^61886788128 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 61886788128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98685216000).

61886788128 is an abundant number, since it is smaller than the sum of its proper divisors (135483643872).

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

61886788128 is a wasteful number, since it uses less digits than its factorization.

61886788128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15172 (or 15158 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 63.

The spelling of 61886788128 in words is "sixty-one billion, eight hundred eighty-six million, seven hundred eighty-eight thousand, one hundred twenty-eight".