61273553696 has 144 divisors (see below), whose sum is σ = 134513379000. Its totient is φ = 27376656384.

The previous prime is 61273553683. The next prime is 61273553717. The reversal of 61273553696 is 69635537216.

It can be written as a sum of positive squares in 4 ways, for example, as 34365744400 + 26907809296 = 185380^2 + 164036^2 .

Its product of digits (6123600) is a multiple of the sum of its prime divisors (1620).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42877910 + ... + 42879338.

Almost surely, 2^61273553696 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 61273553696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67256689500).

61273553696 is an abundant number, since it is smaller than the sum of its proper divisors (73239825304).

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

61273553696 is a wasteful number, since it uses less digits than its factorization.

61273553696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1620 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 53.

The spelling of 61273553696 in words is "sixty-one billion, two hundred seventy-three million, five hundred fifty-three thousand, six hundred ninety-six".