1597886540640 has 1152 divisors, whose sum is σ = 6456146860800. Its totient is φ = 356215947264.

The previous prime is 1597886540519. The next prime is 1597886540641. The reversal of 1597886540640 is 460456887951.

1597886540640 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 8 + 86 + 540 + 6 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1597886540641) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1142162661 + ... + 1142164059.

It is an arithmetic number, because the mean of its divisors is an integer number (5604294150).

Almost surely, 2^{1597886540640} is an apocalyptic number.

1597886540640 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 1597886540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228073430400).

1597886540640 is an abundant number, since it is smaller than the sum of its proper divisors (4858260320160).

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

1597886540640 is a wasteful number, since it uses less digits than its factorization.

1597886540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 1597886540640 in words is "one trillion, five hundred ninety-seven billion, eight hundred eighty-six million, five hundred forty thousand, six hundred forty".