61397885952 has 220 divisors, whose sum is σ = 197453104156. Its totient is φ = 18891325440.

The previous prime is 61397885917. The next prime is 61397885957. The reversal of 61397885952 is 25958879316.

61397885952 is a `hidden beast` number, since 6 + 1 + 39 + 7 + 8 + 8 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19349922816 + 42047963136 = 139104^2 + 205056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61397885952.

It is not an unprimeable number, because it can be changed into a prime (61397885957) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1049802 + ... + 1106742.

Almost surely, 2^61397885952 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 61397885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98726552078).

61397885952 is an abundant number, since it is smaller than the sum of its proper divisors (136055218204).

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

61397885952 is a wasteful number, since it uses less digits than its factorization.

61397885952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56986 (or 56959 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 61397885952 in words is "sixty-one billion, three hundred ninety-seven million, eight hundred eighty-five thousand, nine hundred fifty-two".