61508357120 has 176 divisors, whose sum is σ = 171813192768. Its totient is φ = 20690042880.

The previous prime is 61508357059. The next prime is 61508357123. The reversal of 61508357120 is 2175380516.

It is not an unprimeable number, because it can be changed into a prime (61508357123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1883330 + ... + 1915710.

Almost surely, 2^61508357120 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 61508357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85906596384).

61508357120 is an abundant number, since it is smaller than the sum of its proper divisors (110304835648).

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

61508357120 is a wasteful number, since it uses less digits than its factorization.

61508357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32466 (or 32448 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 61508357120 in words is "sixty-one billion, five hundred eight million, three hundred fifty-seven thousand, one hundred twenty".