61071770880 has 252 divisors, whose sum is σ = 219331982100. Its totient is φ = 16285556736.

The previous prime is 61071770861. The next prime is 61071770917. The reversal of 61071770880 is 8807717016.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30762353664 + 30309417216 = 175392^2 + 174096^2 .

It is a super-3 number, since 3×61071770880³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 900396 + ... + 965844.

Almost surely, 2^61071770880 is an apocalyptic number.

61071770880 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 61071770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109665991050).

61071770880 is an abundant number, since it is smaller than the sum of its proper divisors (158260211220).

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

61071770880 is an frugal number, since it uses more digits than its factorization.

61071770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65488 (or 65459 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 61071770880 in words is "sixty-one billion, seventy-one million, seven hundred seventy thousand, eight hundred eighty".