61891160760 has 768 divisors, whose sum is σ = 245759754240. Its totient is φ = 13307535360.

The previous prime is 61891160707. The next prime is 61891160761. The reversal of 61891160760 is 6706119816.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61891160761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161595529 + ... + 161595911.

It is an arithmetic number, because the mean of its divisors is an integer number (319999680).

Almost surely, 2^61891160760 is an apocalyptic number.

61891160760 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 61891160760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122879877120).

61891160760 is an abundant number, since it is smaller than the sum of its proper divisors (183868593480).

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

61891160760 is a wasteful number, since it uses less digits than its factorization.

61891160760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 61891160760 in words is "sixty-one billion, eight hundred ninety-one million, one hundred sixty thousand, seven hundred sixty".