59872217344 has 81 divisors (see below), whose sum is σ = 122825834859. Its totient is φ = 29127659520.

The previous prime is 59872217323. The next prime is 59872217359. The reversal of 59872217344 is 44371227895.

The square root of 59872217344 is 244688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14806022400 + 45066194944 = 121680^2 + 212288^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 59872217291 and 59872217300.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 160515142 + ... + 160515514.

Almost surely, 2^59872217344 is an apocalyptic number.

59872217344 is the 244688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59872217344

59872217344 is an abundant number, since it is smaller than the sum of its proper divisors (62953617515).

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

59872217344 is an frugal number, since it uses more digits than its factorization.

59872217344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 416 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

The spelling of 59872217344 in words is "fifty-nine billion, eight hundred seventy-two million, two hundred seventeen thousand, three hundred forty-four".