61695129607552 has 192 divisors, whose sum is σ = 148323954954240. Its totient is φ = 25036430330880.

The previous prime is 61695129607537. The next prime is 61695129607577. The reversal of 61695129607552 is 25570692159616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650422593 + ... + 650517439.

It is an arithmetic number, because the mean of its divisors is an integer number (772520598720).

Almost surely, 2^{61695129607552} 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 61695129607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74161977477120).

61695129607552 is an abundant number, since it is smaller than the sum of its proper divisors (86628825346688).

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

61695129607552 is a wasteful number, since it uses less digits than its factorization.

61695129607552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96917 (or 96886 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 64.

The spelling of 61695129607552 in words is "sixty-one trillion, six hundred ninety-five billion, one hundred twenty-nine million, six hundred seven thousand, five hundred fifty-two".