61080260060160 has 1408 divisors, whose sum is σ = 245266595758080. Its totient is φ = 14286982348800.

The previous prime is 61080260060137. The next prime is 61080260060219. The reversal of 61080260060160 is 6106006208016.

61080260060160 is a `hidden beast` number, since 610 + 8 + 0 + 26 + 0 + 0 + 6 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5074369662 + ... + 5074381698.

Almost surely, 2^{61080260060160} is an apocalyptic number.

61080260060160 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 61080260060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122633297879040).

61080260060160 is an abundant number, since it is smaller than the sum of its proper divisors (184186335697920).

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

61080260060160 is a wasteful number, since it uses less digits than its factorization.

61080260060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 61080260060160 its reverse (6106006208016), we get a palindrome (67186266268176).

The spelling of 61080260060160 in words is "sixty-one trillion, eighty billion, two hundred sixty million, sixty thousand, one hundred sixty".