61289498880 has 864 divisors, whose sum is σ = 237686327424. Its totient is φ = 15065284608.

The previous prime is 61289498827. The next prime is 61289498911. The reversal of 61289498880 is 8889498216.

61289498880 is a `hidden beast` number, since 61 + 2 + 8 + 9 + 498 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354274474 + ... + 354274646.

It is an arithmetic number, because the mean of its divisors is an integer number (275099916).

Almost surely, 2^61289498880 is an apocalyptic number.

61289498880 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 61289498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118843163712).

61289498880 is an abundant number, since it is smaller than the sum of its proper divisors (176396828544).

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

61289498880 is a wasteful number, since it uses less digits than its factorization.

61289498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 61289498880 in words is "sixty-one billion, two hundred eighty-nine million, four hundred ninety-eight thousand, eight hundred eighty".