61610558157312 has 160 divisors (see below), whose sum is σ = 172801702096320. Its totient is φ = 19452736880640.

The previous prime is 61610558157307. The next prime is 61610558157341. The reversal of 61610558157312 is 21375185501616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178813362 + ... + 179157582.

It is an arithmetic number, because the mean of its divisors is an integer number (1080010638102).

Almost surely, 2^{61610558157312} 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 61610558157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400851048160).

61610558157312 is an abundant number, since it is smaller than the sum of its proper divisors (111191143939008).

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

61610558157312 is a wasteful number, since it uses less digits than its factorization.

61610558157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350394 (or 350378 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 61610558157312 in words is "sixty-one trillion, six hundred ten billion, five hundred fifty-eight million, one hundred fifty-seven thousand, three hundred twelve".