61090770320000 has 160 divisors (see below), whose sum is σ = 152960773899780. Its totient is φ = 24295052288000.

The previous prime is 61090770319987. The next prime is 61090770320039. The reversal of 61090770320000 is 2307709016.

It can be written as a sum of positive squares in 10 ways, for example, as 74800062016 + 61015970257984 = 273496^2 + 7811272^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11632964 + ... + 16047036.

Almost surely, 2^{61090770320000} 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 61090770320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76480386949890).

61090770320000 is an abundant number, since it is smaller than the sum of its proper divisors (91870003579780).

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

61090770320000 is an equidigital number, since it uses as much as digits as its factorization.

61090770320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414280 (or 4414253 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The spelling of 61090770320000 in words is "sixty-one trillion, ninety billion, seven hundred seventy million, three hundred twenty thousand".