61286351673600 has 1215 divisors, whose sum is σ = 231130879015729. Its totient is φ = 16022870323200.

The previous prime is 61286351673539. The next prime is 61286351673619. The reversal of 61286351673600 is 637615368216.

The square root of 61286351673600 is 7828560.

It is a perfect power (a square), and thus also a powerful number.

61286351673600 is a `hidden beast` number, since 6 + 1 + 2 + 8 + 63 + 516 + 7 + 3 + 60 + 0 = 666.

61286351673600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 22063086602496 + 39223265071104 = 4697136^2 + 6262848^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 467834745535 + ... + 467834745665.

Almost surely, 2^{61286351673600} is an apocalyptic number.

61286351673600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61286351673600 is the 7828560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61286351673600

61286351673600 is an abundant number, since it is smaller than the sum of its proper divisors (169844527342129).

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

61286351673600 is an frugal number, since it uses more digits than its factorization.

61286351673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 61286351673600 in words is "sixty-one trillion, two hundred eighty-six billion, three hundred fifty-one million, six hundred seventy-three thousand, six hundred".