1689151242240 has 3072 divisors, whose sum is σ = 8244198144000. Its totient is φ = 321052999680.

The previous prime is 1689151242197. The next prime is 1689151242253. The reversal of 1689151242240 is 422421519861.

1689151242240 is a `hidden beast` number, since 1 + 6 + 8 + 91 + 512 + 4 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 191 ways as a sum of consecutive naturals, for example, 58246594546 + ... + 58246594574.

It is an arithmetic number, because the mean of its divisors is an integer number (2683658250).

Almost surely, 2^{1689151242240} is an apocalyptic number.

1689151242240 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 1689151242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122099072000).

1689151242240 is an abundant number, since it is smaller than the sum of its proper divisors (6555046901760).

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

1689151242240 is an equidigital number, since it uses as much as digits as its factorization.

1689151242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 1689151 and 242240, that added together give a palindrome (1931391).

The spelling of 1689151242240 in words is "one trillion, six hundred eighty-nine billion, one hundred fifty-one million, two hundred forty-two thousand, two hundred forty".