61880054544 has 960 divisors, whose sum is σ = 241827379200. Its totient is φ = 14936140800.

The previous prime is 61880054539. The next prime is 61880054603. The reversal of 61880054544 is 44545008816.

It is a happy number.

61880054544 is a `hidden beast` number, since 61 + 8 + 8 + 0 + 0 + 545 + 44 = 666.

It is a super-3 number, since 3×61880054544³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61880054544.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 314111854 + ... + 314112050.

It is an arithmetic number, because the mean of its divisors is an integer number (251903520).

Almost surely, 2^61880054544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61880054544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120913689600).

61880054544 is an abundant number, since it is smaller than the sum of its proper divisors (179947324656).

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

61880054544 is a wasteful number, since it uses less digits than its factorization.

61880054544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 61880054544 in words is "sixty-one billion, eight hundred eighty million, fifty-four thousand, five hundred forty-four".