195542138880 has 1440 divisors, whose sum is σ = 824407234560. Its totient is φ = 43953684480.

The previous prime is 195542138761. The next prime is 195542138969. The reversal of 195542138880 is 88831245591.

195542138880 is a `hidden beast` number, since 1 + 9 + 5 + 542 + 13 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 4160471017 + ... + 4160471063.

It is an arithmetic number, because the mean of its divisors is an integer number (572505024).

Almost surely, 2^195542138880 is an apocalyptic number.

195542138880 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 195542138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412203617280).

195542138880 is an abundant number, since it is smaller than the sum of its proper divisors (628865095680).

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

195542138880 is an equidigital number, since it uses as much as digits as its factorization.

195542138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 195542138880 in words is "one hundred ninety-five billion, five hundred forty-two million, one hundred thirty-eight thousand, eight hundred eighty".