61115908575744 has 2160 divisors, whose sum is σ = 218077978678560. Its totient is φ = 16958478090240.

The previous prime is 61115908575731. The next prime is 61115908575767. The reversal of 61115908575744 is 44757580951116.

61115908575744 is a `hidden beast` number, since 6 + 1 + 1 + 1 + 5 + 9 + 0 + 8 + 57 + 574 + 4 = 666.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 630060913104 + ... + 630060913200.

It is an arithmetic number, because the mean of its divisors is an integer number (100962027166).

Almost surely, 2^{61115908575744} is an apocalyptic number.

61115908575744 is a gapful number since it is divisible by the number (64) 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 61115908575744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109038989339280).

61115908575744 is an abundant number, since it is smaller than the sum of its proper divisors (156962070102816).

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

61115908575744 is an frugal number, since it uses more digits than its factorization.

61115908575744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 63.

The spelling of 61115908575744 in words is "sixty-one trillion, one hundred fifteen billion, nine hundred eight million, five hundred seventy-five thousand, seven hundred forty-four".