1587481640640 has 448 divisors, whose sum is σ = 6536511590400. Its totient is φ = 355132035072.

The previous prime is 1587481640623. The next prime is 1587481640671. The reversal of 1587481640640 is 460461847851.

1587481640640 is a `hidden beast` number, since 1 + 5 + 87 + 481 + 6 + 40 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1587481640640³ (a number of 38 digits) contains 333 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 63 ways as a sum of consecutive naturals, for example, 2563326 + ... + 3121794.

Almost surely, 2^{1587481640640} is an apocalyptic number.

1587481640640 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 1587481640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268255795200).

1587481640640 is an abundant number, since it is smaller than the sum of its proper divisors (4949029949760).

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

1587481640640 is a wasteful number, since it uses less digits than its factorization.

1587481640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558549 (or 558533 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1587481640640 in words is "one trillion, five hundred eighty-seven billion, four hundred eighty-one million, six hundred forty thousand, six hundred forty".