59661970564 has 81 divisors (see below), whose sum is σ = 123658671717. Its totient is φ = 25113630528.

The previous prime is 59661970561. The next prime is 59661970573. The reversal of 59661970564 is 46507916695.

It is a happy number.

The square root of 59661970564 is 244258.

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

It can be written as a sum of positive squares in only one way, i.e., 33867040900 + 25794929664 = 184030^2 + 160608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 59661970499 and 59661970508.

It is not an unprimeable number, because it can be changed into a prime (59661970561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249631557 + ... + 249631795.

Almost surely, 2^59661970564 is an apocalyptic number.

59661970564 is the 244258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59661970564

59661970564 is an abundant number, since it is smaller than the sum of its proper divisors (63996701153).

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

59661970564 is an equidigital number, since it uses as much as digits as its factorization.

59661970564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 58.

It can be divided in two parts, 59661 and 970564, that added together give a square (1030225 = 1015²).

The spelling of 59661970564 in words is "fifty-nine billion, six hundred sixty-one million, nine hundred seventy thousand, five hundred sixty-four".