20087959824 has 225 divisors, whose sum is σ = 60553146951. Its totient is φ = 6428963520.

The previous prime is 20087959813. The next prime is 20087959841. The reversal of 20087959824 is 42895978002.

The square root of 20087959824 is 141732.

It is a perfect power (a square), and thus also a powerful number.

20087959824 is a `hidden beast` number, since 20 + 0 + 8 + 7 + 9 + 598 + 24 = 666.

It is a super-2 number, since 2×20087959824² (a number of 21 digits) contains 22 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 44 ways as a sum of consecutive naturals, for example, 158172849 + ... + 158172975.

Almost surely, 2^20087959824 is an apocalyptic number.

20087959824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20087959824 is the 141732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20087959824

20087959824 is an abundant number, since it is smaller than the sum of its proper divisors (40465187127).

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

20087959824 is an equidigital number, since it uses as much as digits as its factorization.

20087959824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 20087959824 in words is "twenty billion, eighty-seven million, nine hundred fifty-nine thousand, eight hundred twenty-four".