5587162064640 has 1296 divisors, whose sum is σ = 21878190760608. Its totient is φ = 1364523024384.

The previous prime is 5587162064599. The next prime is 5587162064689. The reversal of 5587162064640 is 464602617855.

5587162064640 is a `hidden beast` number, since 5 + 5 + 8 + 7 + 1 + 620 + 6 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8252823982 + ... + 8252824658.

Almost surely, 2^{5587162064640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5587162064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10939095380304).

5587162064640 is an abundant number, since it is smaller than the sum of its proper divisors (16291028695968).

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

5587162064640 is a wasteful number, since it uses less digits than its factorization.

5587162064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5587162064640 in words is "five trillion, five hundred eighty-seven billion, one hundred sixty-two million, sixty-four thousand, six hundred forty".