61327563831960 has 128 divisors (see below), whose sum is σ = 187132600512000. Its totient is φ = 16074118619136.

The previous prime is 61327563831953. The next prime is 61327563831967. The reversal of 61327563831960 is 6913836572316.

It is an interprime number because it is at equal distance from previous prime (61327563831953) and next prime (61327563831967).

It is a super-2 number, since 2×61327563831960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 61327563831894 and 61327563831903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61327563831967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41419701 + ... + 42874779.

It is an arithmetic number, because the mean of its divisors is an integer number (1461973441500).

Almost surely, 2^{61327563831960} is an apocalyptic number.

61327563831960 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 61327563831960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93566300256000).

61327563831960 is an abundant number, since it is smaller than the sum of its proper divisors (125805036680040).

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

61327563831960 is a wasteful number, since it uses less digits than its factorization.

61327563831960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461105 (or 1461101 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 61327563831960 in words is "sixty-one trillion, three hundred twenty-seven billion, five hundred sixty-three million, eight hundred thirty-one thousand, nine hundred sixty".