59972766048 has 144 divisors (see below), whose sum is σ = 184070302416. Its totient is φ = 18412600320.

The previous prime is 59972766017. The next prime is 59972766071. The reversal of 59972766048 is 84066727995.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1708611 + ... + 1743357.

It is an arithmetic number, because the mean of its divisors is an integer number (1278265989).

Almost surely, 2^59972766048 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 59972766048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92035151208).

59972766048 is an abundant number, since it is smaller than the sum of its proper divisors (124097536368).

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

59972766048 is a wasteful number, since it uses less digits than its factorization.

59972766048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35237 (or 35226 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 59972766048 in words is "fifty-nine billion, nine hundred seventy-two million, seven hundred sixty-six thousand, forty-eight".