61113944897280 has 720 divisors, whose sum is σ = 241824814174944. Its totient is φ = 14612529807360.

The previous prime is 61113944897267. The next prime is 61113944897303. The reversal of 61113944897280 is 8279844931116.

61113944897280 is a `hidden beast` number, since 6 + 1 + 1 + 1 + 3 + 9 + 4 + 489 + 72 + 80 = 666.

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

It is a super-2 number, since 2×61113944897280² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82888012 + ... + 83622068.

Almost surely, 2^{61113944897280} is an apocalyptic number.

61113944897280 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 61113944897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120912407087472).

61113944897280 is an abundant number, since it is smaller than the sum of its proper divisors (180710869277664).

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

61113944897280 is a wasteful number, since it uses less digits than its factorization.

61113944897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734174 (or 734151 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 61113944897280 in words is "sixty-one trillion, one hundred thirteen billion, nine hundred forty-four million, eight hundred ninety-seven thousand, two hundred eighty".