10061588354048 has 352 divisors, whose sum is σ = 26435737497600. Its totient is φ = 3708216115200.

The previous prime is 10061588354009. The next prime is 10061588354107. The reversal of 10061588354048 is 84045388516001.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077137858 + ... + 1077147198.

Almost surely, 2^{10061588354048} 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 10061588354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217868748800).

10061588354048 is an abundant number, since it is smaller than the sum of its proper divisors (16374149143552).

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

10061588354048 is a wasteful number, since it uses less digits than its factorization.

10061588354048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10117 (or 10099 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 53.

The spelling of 10061588354048 in words is "ten trillion, sixty-one billion, five hundred eighty-eight million, three hundred fifty-four thousand, forty-eight".