61775866152 has 768 divisors, whose sum is σ = 237758976000. Its totient is φ = 13965557760.

The previous prime is 61775866133. The next prime is 61775866181. The reversal of 61775866152 is 25166857716.

It is a happy number.

61775866152 is a `hidden beast` number, since 6 + 1 + 7 + 7 + 586 + 6 + 1 + 52 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137585224 + ... + 137585672.

It is an arithmetic number, because the mean of its divisors is an integer number (309582000).

Almost surely, 2^61775866152 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 61775866152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488000).

61775866152 is an abundant number, since it is smaller than the sum of its proper divisors (175983109848).

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

61775866152 is a wasteful number, since it uses less digits than its factorization.

61775866152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 591 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 61775866152 in words is "sixty-one billion, seven hundred seventy-five million, eight hundred sixty-six thousand, one hundred fifty-two".