61121613873600 has 2016 divisors, whose sum is σ = 260339433209856. Its totient is φ = 13816073318400.

The previous prime is 61121613873539. The next prime is 61121613873631. The reversal of 61121613873600 is 637831612116.

61121613873600 is a `hidden beast` number, since 6 + 1 + 1 + 2 + 1 + 6 + 1 + 38 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 159586459009 + ... + 159586459391.

It is an arithmetic number, because the mean of its divisors is an integer number (129136623616).

Almost surely, 2^{61121613873600} is an apocalyptic number.

61121613873600 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 61121613873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130169716604928).

61121613873600 is an abundant number, since it is smaller than the sum of its proper divisors (199217819336256).

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

61121613873600 is a wasteful number, since it uses less digits than its factorization.

61121613873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 61121613873600 in words is "sixty-one trillion, one hundred twenty-one billion, six hundred thirteen million, eight hundred seventy-three thousand, six hundred".