61061602918400 has 2160 divisors, whose sum is σ = 201700742326272. Its totient is φ = 18166579200000.

The previous prime is 61061602918391. The next prime is 61061602918403. The reversal of 61061602918400 is 481920616016.

It is not an unprimeable number, because it can be changed into a prime (61061602918403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 243273318275 + ... + 243273318525.

Almost surely, 2^{61061602918400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61061602918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100850371163136).

61061602918400 is an abundant number, since it is smaller than the sum of its proper divisors (140639139407872).

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

61061602918400 is a wasteful number, since it uses less digits than its factorization.

61061602918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 61061602918400 in words is "sixty-one trillion, sixty-one billion, six hundred two million, nine hundred eighteen thousand, four hundred".