8152421200 has 240 divisors, whose sum is σ = 25706211840. Its totient is φ = 2407104000.

The previous prime is 8152421197. The next prime is 8152421239. The reversal of 8152421200 is 21242518.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578235 + ... + 592165.

It is an arithmetic number, because the mean of its divisors is an integer number (107109216).

Almost surely, 2^8152421200 is an apocalyptic number.

8152421200 is a gapful number since it is divisible by the number (80) 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 8152421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12853105920).

8152421200 is an abundant number, since it is smaller than the sum of its proper divisors (17553790640).

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

8152421200 is a wasteful number, since it uses less digits than its factorization.

8152421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13986 (or 13975 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 8152421200 is about 90290.7592170982. The cubic root of 8152421200 is about 2012.6219423815.

Adding to 8152421200 its reverse (21242518), we get a palindrome (8173663718).

The spelling of 8152421200 in words is "eight billion, one hundred fifty-two million, four hundred twenty-one thousand, two hundred".