1587631718400 has 1536 divisors, whose sum is σ = 6698704588800. Its totient is φ = 322751692800.

The previous prime is 1587631718383. The next prime is 1587631718401. The reversal of 1587631718400 is 48171367851.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587631718401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6932889486 + ... + 6932889714.

It is an arithmetic number, because the mean of its divisors is an integer number (4361135800).

Almost surely, 2^{1587631718400} is an apocalyptic number.

1587631718400 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 1587631718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349352294400).

1587631718400 is an abundant number, since it is smaller than the sum of its proper divisors (5111072870400).

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

1587631718400 is a wasteful number, since it uses less digits than its factorization.

1587631718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 1587631718400 in words is "one trillion, five hundred eighty-seven billion, six hundred thirty-one million, seven hundred eighteen thousand, four hundred".