195021007534080 has 3456 divisors, whose sum is σ = 892940010056640. Its totient is φ = 40452677959680.

The previous prime is 195021007534063. The next prime is 195021007534153. The reversal of 195021007534080 is 80435700120591.

195021007534080 is a `hidden beast` number, since 1 + 9 + 5 + 0 + 2 + 100 + 7 + 534 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×195021007534080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 96688649232 + ... + 96688651248.

Almost surely, 2^{195021007534080} is an apocalyptic number.

195021007534080 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 195021007534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446470005028320).

195021007534080 is an abundant number, since it is smaller than the sum of its proper divisors (697919002522560).

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

195021007534080 is a wasteful number, since it uses less digits than its factorization.

195021007534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 195021007534080 in words is "one hundred ninety-five trillion, twenty-one billion, seven million, five hundred thirty-four thousand, eighty".