61785884160 has 2560 divisors, whose sum is σ = 316779724800. Its totient is φ = 10988421120.

The previous prime is 61785884143. The next prime is 61785884189. The reversal of 61785884160 is 6148858716.

It is a happy number.

61785884160 is a `hidden beast` number, since 6 + 17 + 8 + 588 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61785884097 and 61785884106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1314593257 + ... + 1314593303.

It is an arithmetic number, because the mean of its divisors is an integer number (123742080).

Almost surely, 2^61785884160 is an apocalyptic number.

61785884160 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 61785884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158389862400).

61785884160 is an abundant number, since it is smaller than the sum of its proper divisors (254993840640).

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

61785884160 is a wasteful number, since it uses less digits than its factorization.

61785884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 61785884160 in words is "sixty-one billion, seven hundred eighty-five million, eight hundred eighty-four thousand, one hundred sixty".