61520691960 has 384 divisors, whose sum is σ = 246707959680. Its totient is φ = 12947226624.

The previous prime is 61520691929. The next prime is 61520691977. The reversal of 61520691960 is 6919602516.

It is a happy number.

61520691960 is a `hidden beast` number, since 6 + 1 + 520 + 69 + 1 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 14182912 + ... + 14187248.

It is an arithmetic number, because the mean of its divisors is an integer number (642468645).

Almost surely, 2^61520691960 is an apocalyptic number.

61520691960 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 61520691960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123353979840).

61520691960 is an abundant number, since it is smaller than the sum of its proper divisors (185187267720).

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

61520691960 is a wasteful number, since it uses less digits than its factorization.

61520691960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 61520691960 in words is "sixty-one billion, five hundred twenty million, six hundred ninety-one thousand, nine hundred sixty".