87819989197824 has 495 divisors, whose sum is σ = 284085813114873. Its totient is φ = 27010739478528.

The previous prime is 87819989197813. The next prime is 87819989197859. The reversal of 87819989197824 is 42879198991878.

It is a happy number.

The square root of 87819989197824 is 9371232.

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

87819989197824 is a `hidden beast` number, since 87 + 8 + 199 + 89 + 197 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12991122662400 + 74828866535424 = 3604320^2 + 8650368^2 .

It is a super-4 number, since 4×87819989197824⁴ (a number of 57 digits) contains 4444 as substring.

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, 35085891357 + ... + 35085893859.

Almost surely, 2^{87819989197824} is an apocalyptic number.

87819989197824 is the 9371232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87819989197824

87819989197824 is an abundant number, since it is smaller than the sum of its proper divisors (196265823917049).

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

87819989197824 is an frugal number, since it uses more digits than its factorization.

87819989197824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 2521 counting only the distinct ones).

The product of its digits is 10534551552, while the sum is 90.

The spelling of 87819989197824 in words is "eighty-seven trillion, eight hundred nineteen billion, nine hundred eighty-nine million, one hundred ninety-seven thousand, eight hundred twenty-four".