61382131200 has 720 divisors, whose sum is σ = 250586992656. Its totient is φ = 14214758400.

The previous prime is 61382131171. The next prime is 61382131231. The reversal of 61382131200 is 213128316.

It is a happy number.

61382131200 is a `hidden beast` number, since 613 + 8 + 21 + 3 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25457995 + ... + 25460405.

Almost surely, 2^61382131200 is an apocalyptic number.

61382131200 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 61382131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125293496328).

61382131200 is an abundant number, since it is smaller than the sum of its proper divisors (189204861456).

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

61382131200 is a wasteful number, since it uses less digits than its factorization.

61382131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 61382131200 its reverse (213128316), we get a palindrome (61595259516).

The spelling of 61382131200 in words is "sixty-one billion, three hundred eighty-two million, one hundred thirty-one thousand, two hundred".