61485259680 has 1344 divisors, whose sum is σ = 256538886912. Its totient is φ = 13795246080.

The previous prime is 61485259679. The next prime is 61485259687. The reversal of 61485259680 is 8695258416.

61485259680 is a `hidden beast` number, since 6 + 1 + 48 + 5 + 2 + 596 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (61485259687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1429889739 + ... + 1429889781.

It is an arithmetic number, because the mean of its divisors is an integer number (190877148).

Almost surely, 2^61485259680 is an apocalyptic number.

61485259680 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 61485259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128269443456).

61485259680 is an abundant number, since it is smaller than the sum of its proper divisors (195053627232).

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

61485259680 is a wasteful number, since it uses less digits than its factorization.

61485259680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 61485259680 in words is "sixty-one billion, four hundred eighty-five million, two hundred fifty-nine thousand, six hundred eighty".