59048220672 has 1152 divisors, whose sum is σ = 227066112000. Its totient is φ = 15049359360.

The previous prime is 59048220659. The next prime is 59048220697. The reversal of 59048220672 is 27602284095.

59048220672 is a `hidden beast` number, since 5 + 90 + 482 + 20 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1595897838 + ... + 1595897874.

It is an arithmetic number, because the mean of its divisors is an integer number (197106000).

Almost surely, 2^59048220672 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 59048220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113533056000).

59048220672 is an abundant number, since it is smaller than the sum of its proper divisors (168017891328).

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

59048220672 is a wasteful number, since it uses less digits than its factorization.

59048220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 59048220672 in words is "fifty-nine billion, forty-eight million, two hundred twenty thousand, six hundred seventy-two".