61891609436160 has 448 divisors, whose sum is σ = 229520652447744. Its totient is φ = 13947391180800.

The previous prime is 61891609436093. The next prime is 61891609436171. The reversal of 61891609436160 is 6163490619816.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 61891609436094 and 61891609436103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60564645 + ... + 61578075.

It is an arithmetic number, because the mean of its divisors is an integer number (512322884928).

Almost surely, 2^{61891609436160} is an apocalyptic number.

61891609436160 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 61891609436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114760326223872).

61891609436160 is an abundant number, since it is smaller than the sum of its proper divisors (167629043011584).

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

61891609436160 is a wasteful number, since it uses less digits than its factorization.

61891609436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013543 (or 1013519 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 61891609436160 in words is "sixty-one trillion, eight hundred ninety-one billion, six hundred nine million, four hundred thirty-six thousand, one hundred sixty".