8162399385504 has 3024 divisors, whose sum is σ = 33097799992320. Its totient is φ = 1968644321280.

The previous prime is 8162399385479. The next prime is 8162399385527. The reversal of 8162399385504 is 4055839932618.

8162399385504 is a `hidden beast` number, since 8 + 1 + 6 + 2 + 3 + 99 + 38 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 173668072009 + ... + 173668072055.

It is an arithmetic number, because the mean of its divisors is an integer number (10945039680).

Almost surely, 2^{8162399385504} is an apocalyptic number.

8162399385504 is a gapful number since it is divisible by the number (84) 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 8162399385504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548899996160).

8162399385504 is an abundant number, since it is smaller than the sum of its proper divisors (24935400606816).

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

8162399385504 is a wasteful number, since it uses less digits than its factorization.

8162399385504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 8162399385504 in words is "eight trillion, one hundred sixty-two billion, three hundred ninety-nine million, three hundred eighty-five thousand, five hundred four".