61618252080 has 640 divisors, whose sum is σ = 247417307136. Its totient is φ = 12315340800.

The previous prime is 61618252067. The next prime is 61618252109. The reversal of 61618252080 is 8025281616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52981579 + ... + 52982741.

Almost surely, 2^61618252080 is an apocalyptic number.

61618252080 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 61618252080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123708653568).

61618252080 is an abundant number, since it is smaller than the sum of its proper divisors (185799055056).

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

61618252080 is a wasteful number, since it uses less digits than its factorization.

61618252080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 61618252080 in words is "sixty-one billion, six hundred eighteen million, two hundred fifty-two thousand, eighty".