195077325040416 has 540 divisors, whose sum is σ = 722671491876642. Its totient is φ = 51448959184896.

The previous prime is 195077325040363. The next prime is 195077325040421. The reversal of 195077325040416 is 614040523770591.

195077325040416 is a `hidden beast` number, since 1 + 9 + 50 + 7 + 73 + 2 + 504 + 0 + 4 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 110135369811600 + 84941955228816 = 10494540^2 + 9216396^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 16920136 + ... + 26008568.

Almost surely, 2^{195077325040416} is an apocalyptic number.

195077325040416 is a gapful number since it is divisible by the number (16) 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 195077325040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361335745938321).

195077325040416 is an abundant number, since it is smaller than the sum of its proper divisors (527594166836226).

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

195077325040416 is a wasteful number, since it uses less digits than its factorization.

195077325040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088495 (or 9088458 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 195077325040416 in words is "one hundred ninety-five trillion, seventy-seven billion, three hundred twenty-five million, forty thousand, four hundred sixteen".