195621985440 has 480 divisors, whose sum is σ = 793909226880. Its totient is φ = 44435920896.

The previous prime is 195621985397. The next prime is 195621985463. The reversal of 195621985440 is 44589126591.

195621985440 is a `hidden beast` number, since 1 + 9 + 5 + 6 + 2 + 1 + 98 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×195621985440² (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 14780746 + ... + 14793974.

It is an arithmetic number, because the mean of its divisors is an integer number (1653977556).

Almost surely, 2^195621985440 is an apocalyptic number.

195621985440 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 195621985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396954613440).

195621985440 is an abundant number, since it is smaller than the sum of its proper divisors (598287241440).

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

195621985440 is a wasteful number, since it uses less digits than its factorization.

195621985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13426 (or 13409 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

It can be divided in two parts, 19562 and 1985440, that added together give a palindrome (2005002).

The spelling of 195621985440 in words is "one hundred ninety-five billion, six hundred twenty-one million, nine hundred eighty-five thousand, four hundred forty".