61057206810600 has 1152 divisors, whose sum is σ = 255930556538880. Its totient is φ = 11692961280000.

The previous prime is 61057206810559. The next prime is 61057206810631. The reversal of 61057206810600 is 601860275016.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5285874825 + ... + 5285886375.

It is an arithmetic number, because the mean of its divisors is an integer number (222161941440).

Almost surely, 2^{61057206810600} is an apocalyptic number.

61057206810600 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 61057206810600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127965278269440).

61057206810600 is an abundant number, since it is smaller than the sum of its proper divisors (194873349728280).

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

61057206810600 is a wasteful number, since it uses less digits than its factorization.

61057206810600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291 (or 12269 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 61057206810600 in words is "sixty-one trillion, fifty-seven billion, two hundred six million, eight hundred ten thousand, six hundred".