8152623878400 has 243 divisors, whose sum is σ = 29149920558031. Its totient is φ = 2173850296320.

The previous prime is 8152623878383. The next prime is 8152623878419. The reversal of 8152623878400 is 48783262518.

The square root of 8152623878400 is 2855280.

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

8152623878400 is a `hidden beast` number, since 8 + 1 + 5 + 2 + 623 + 8 + 7 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2375100170496 + 5777523707904 = 1541136^2 + 2403648^2 .

It is a super-2 number, since 2×8152623878400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 685261252 + ... + 685273148.

Almost surely, 2^{8152623878400} is an apocalyptic number.

8152623878400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8152623878400 is the 2855280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8152623878400

8152623878400 is an abundant number, since it is smaller than the sum of its proper divisors (20997296679631).

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

8152623878400 is an frugal number, since it uses more digits than its factorization.

8152623878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23826 (or 11907 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 8152623878400 in words is "eight trillion, one hundred fifty-two billion, six hundred twenty-three million, eight hundred seventy-eight thousand, four hundred".