61681052160 has 1440 divisors, whose sum is σ = 276626009088. Its totient is φ = 12421693440.

The previous prime is 61681052149. The next prime is 61681052183. The reversal of 61681052160 is 6125018616.

61681052160 is a `hidden beast` number, since 6 + 1 + 68 + 10 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 844945884 + ... + 844945956.

Almost surely, 2^61681052160 is an apocalyptic number.

61681052160 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 61681052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138313004544).

61681052160 is an abundant number, since it is smaller than the sum of its proper divisors (214944956928).

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

61681052160 is a wasteful number, since it uses less digits than its factorization.

61681052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 61681052160 in words is "sixty-one billion, six hundred eighty-one million, fifty-two thousand, one hundred sixty".