61595678551680 has 1536 divisors, whose sum is σ = 275483280960000. Its totient is φ = 12995799957504.

The previous prime is 61595678551639. The next prime is 61595678551681. The reversal of 61595678551680 is 8615587659516.

61595678551680 is a `hidden beast` number, since 6 + 1 + 5 + 9 + 5 + 6 + 7 + 8 + 551 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 61595678551599 and 61595678551608.

It is not an unprimeable number, because it can be changed into a prime (61595678551681) 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 191 ways as a sum of consecutive naturals, for example, 1001639014 + ... + 1001700506.

It is an arithmetic number, because the mean of its divisors is an integer number (179351094375).

Almost surely, 2^{61595678551680} is an apocalyptic number.

61595678551680 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 61595678551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137741640480000).

61595678551680 is an abundant number, since it is smaller than the sum of its proper divisors (213887602408320).

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

61595678551680 is a wasteful number, since it uses less digits than its factorization.

61595678551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61568 (or 61523 counting only the distinct ones).

The product of its (nonzero) digits is 544320000, while the sum is 72.

The spelling of 61595678551680 in words is "sixty-one trillion, five hundred ninety-five billion, six hundred seventy-eight million, five hundred fifty-one thousand, six hundred eighty".