195127777332480 has 1152 divisors, whose sum is σ = 695395502161920. Its totient is φ = 46461026304000.

The previous prime is 195127777332469. The next prime is 195127777332487. The reversal of 195127777332480 is 84233777721591.

195127777332480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195127777332487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9990660315 + ... + 9990679845.

It is an arithmetic number, because the mean of its divisors is an integer number (603641928960).

Almost surely, 2^{195127777332480} is an apocalyptic number.

195127777332480 is a gapful number since it is divisible by the number (10) 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 195127777332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347697751080960).

195127777332480 is an abundant number, since it is smaller than the sum of its proper divisors (500267724829440).

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

195127777332480 is a wasteful number, since it uses less digits than its factorization.

195127777332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19739 (or 19725 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 66.

The spelling of 195127777332480 in words is "one hundred ninety-five trillion, one hundred twenty-seven billion, seven hundred seventy-seven million, three hundred thirty-two thousand, four hundred eighty".