1959895491840 has 1440 divisors, whose sum is σ = 8366096382336. Its totient is φ = 431813099520.

The previous prime is 1959895491821. The next prime is 1959895491889. The reversal of 1959895491840 is 481945989591.

It is a happy number.

1959895491840 is a `hidden beast` number, since 1 + 9 + 5 + 9 + 8 + 95 + 491 + 8 + 40 = 666.

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

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 993357094 + ... + 993359066.

Almost surely, 2^{1959895491840} is an apocalyptic number.

1959895491840 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 1959895491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183048191168).

1959895491840 is an abundant number, since it is smaller than the sum of its proper divisors (6406200890496).

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

1959895491840 is a wasteful number, since it uses less digits than its factorization.

1959895491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 72.

The spelling of 1959895491840 in words is "one trillion, nine hundred fifty-nine billion, eight hundred ninety-five million, four hundred ninety-one thousand, eight hundred forty".