61429580160 has 576 divisors, whose sum is σ = 220199815440. Its totient is φ = 14559068160.

The previous prime is 61429580159. The next prime is 61429580197. The reversal of 61429580160 is 6108592416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311825182 + ... + 311825378.

Almost surely, 2^61429580160 is an apocalyptic number.

61429580160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61429580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110099907720).

61429580160 is an abundant number, since it is smaller than the sum of its proper divisors (158770235280).

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

61429580160 is a wasteful number, since it uses less digits than its factorization.

61429580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 61429580160 in words is "sixty-one billion, four hundred twenty-nine million, five hundred eighty thousand, one hundred sixty".