61381349251200 has 1920 divisors, whose sum is σ = 255404098002240. Its totient is φ = 14387466240000.

The previous prime is 61381349251163. The next prime is 61381349251237. The reversal of 61381349251200 is 215294318316.

61381349251200 is a `hidden beast` number, since 6 + 1 + 3 + 81 + 349 + 25 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (61381349251163) and next prime (61381349251237).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12382759122 + ... + 12382764078.

Almost surely, 2^{61381349251200} is an apocalyptic number.

61381349251200 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 61381349251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127702049001120).

61381349251200 is an abundant number, since it is smaller than the sum of its proper divisors (194022748751040).

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

61381349251200 is a wasteful number, since it uses less digits than its factorization.

61381349251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61381349251200 in words is "sixty-one trillion, three hundred eighty-one billion, three hundred forty-nine million, two hundred fifty-one thousand, two hundred".