61821270000 has 300 divisors, whose sum is σ = 247085844720. Its totient is φ = 14130432000.

The previous prime is 61821269957. The next prime is 61821270001. The reversal of 61821270000 is 7212816.

61821270000 is a `hidden beast` number, since 618 + 21 + 27 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61821270001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 580936 + ... + 679064.

Almost surely, 2^61821270000 is an apocalyptic number.

61821270000 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 61821270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123542922360).

61821270000 is an abundant number, since it is smaller than the sum of its proper divisors (185264574720).

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

61821270000 is a wasteful number, since it uses less digits than its factorization.

61821270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98170 (or 98146 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 61821270000 its reverse (7212816), we get a palindrome (61828482816).

The spelling of 61821270000 in words is "sixty-one billion, eight hundred twenty-one million, two hundred seventy thousand".