8201599282800 has 2880 divisors, whose sum is σ = 39093634990080. Its totient is φ = 1612493568000.

The previous prime is 8201599282781. The next prime is 8201599282813. The reversal of 8201599282800 is 82829951028.

It is a happy number.

8201599282800 is a `hidden beast` number, since 8 + 2 + 0 + 1 + 599 + 28 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8481487917 + ... + 8481488883.

It is an arithmetic number, because the mean of its divisors is an integer number (13574178816).

Almost surely, 2^{8201599282800} is an apocalyptic number.

8201599282800 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 8201599282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19546817495040).

8201599282800 is an abundant number, since it is smaller than the sum of its proper divisors (30892035707280).

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

8201599282800 is a wasteful number, since it uses less digits than its factorization.

8201599282800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 8201599282800 in words is "eight trillion, two hundred one billion, five hundred ninety-nine million, two hundred eighty-two thousand, eight hundred".