61029260160 has 1024 divisors, whose sum is σ = 237311078400. Its totient is φ = 13170769920.

The previous prime is 61029260147. The next prime is 61029260161. The reversal of 61029260160 is 6106292016.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61029260161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 910884447 + ... + 910884513.

It is an arithmetic number, because the mean of its divisors is an integer number (231749100).

Almost surely, 2^61029260160 is an apocalyptic number.

61029260160 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 61029260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118655539200).

61029260160 is an abundant number, since it is smaller than the sum of its proper divisors (176281818240).

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

61029260160 is a wasteful number, since it uses less digits than its factorization.

61029260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 61029260160 in words is "sixty-one billion, twenty-nine million, two hundred sixty thousand, one hundred sixty".