61078101120 has 192 divisors, whose sum is σ = 211677256440. Its totient is φ = 16228270080.

The previous prime is 61078101101. The next prime is 61078101121. The reversal of 61078101120 is 2110187016.

61078101120 is a `hidden beast` number, since 610 + 7 + 8 + 10 + 11 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54610081344 + 6468019776 = 233688^2 + 80424^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (61078101121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1576380 + ... + 1614660.

Almost surely, 2^61078101120 is an apocalyptic number.

61078101120 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 61078101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105838628220).

61078101120 is an abundant number, since it is smaller than the sum of its proper divisors (150599155320).

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

61078101120 is a wasteful number, since it uses less digits than its factorization.

61078101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38583 (or 38568 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 61078101120 its reverse (2110187016), we get a palindrome (63188288136).

The spelling of 61078101120 in words is "sixty-one billion, seventy-eight million, one hundred one thousand, one hundred twenty".