61409099566080 has 2640 divisors, whose sum is σ = 270504830002176. Its totient is φ = 13261829898240.

The previous prime is 61409099566069. The next prime is 61409099566099. The reversal of 61409099566080 is 8066599090416.

61409099566080 is a `hidden beast` number, since 6 + 1 + 409 + 0 + 9 + 95 + 6 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 61409099565999 and 61409099566017.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27088265107 + ... + 27088267373.

Almost surely, 2^{61409099566080} is an apocalyptic number.

61409099566080 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 61409099566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135252415001088).

61409099566080 is an abundant number, since it is smaller than the sum of its proper divisors (209095730436096).

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

61409099566080 is a wasteful number, since it uses less digits than its factorization.

61409099566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 61409099566080 in words is "sixty-one trillion, four hundred nine billion, ninety-nine million, five hundred sixty-six thousand, eighty".