61057119496320 has 352 divisors, whose sum is σ = 218945913998220. Its totient is φ = 16281888454656.

The previous prime is 61057119496301. The next prime is 61057119496357. The reversal of 61057119496320 is 2369491175016.

61057119496320 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 7 + 119 + 496 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55348957537344 + 5708161958976 = 7439688^2 + 2389176^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 36983542 + ... + 38599178.

Almost surely, 2^{61057119496320} is an apocalyptic number.

61057119496320 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 61057119496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109472956999110).

61057119496320 is an abundant number, since it is smaller than the sum of its proper divisors (157888794501900).

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

61057119496320 is an frugal number, since it uses more digits than its factorization.

61057119496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615686 (or 1615647 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 61057119496320 in words is "sixty-one trillion, fifty-seven billion, one hundred nineteen million, four hundred ninety-six thousand, three hundred twenty".