16531884778752 has 1296 divisors, whose sum is σ = 57906340128000. Its totient is φ = 4520208236544.

The previous prime is 16531884778729. The next prime is 16531884778753. The reversal of 16531884778752 is 25787748813561.

16531884778752 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 1 + 88 + 477 + 8 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16531884778753) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46832534608 + ... + 46832534960.

It is an arithmetic number, because the mean of its divisors is an integer number (44680818000).

Almost surely, 2^{16531884778752} is an apocalyptic number.

16531884778752 is a gapful number since it is divisible by the number (12) 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 16531884778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28953170064000).

16531884778752 is an abundant number, since it is smaller than the sum of its proper divisors (41374455349248).

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

16531884778752 is a wasteful number, since it uses less digits than its factorization.

16531884778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 592 counting only the distinct ones).

The product of its digits is 632217600, while the sum is 72.

The spelling of 16531884778752 in words is "sixteen trillion, five hundred thirty-one billion, eight hundred eighty-four million, seven hundred seventy-eight thousand, seven hundred fifty-two".