8152399465056 has 672 divisors, whose sum is σ = 30134461190400. Its totient is φ = 2108153226240.

The previous prime is 8152399465051. The next prime is 8152399465079. The reversal of 8152399465056 is 6505649932518.

8152399465056 is a `hidden beast` number, since 8 + 1 + 5 + 2 + 39 + 94 + 6 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 8152399464984 and 8152399465002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8152399465051) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 411332715 + ... + 411352533.

It is an arithmetic number, because the mean of its divisors is an integer number (44842948200).

Almost surely, 2^{8152399465056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8152399465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15067230595200).

8152399465056 is an abundant number, since it is smaller than the sum of its proper divisors (21982061725344).

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

8152399465056 is a wasteful number, since it uses less digits than its factorization.

8152399465056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20094 (or 20071 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 8152399465056 in words is "eight trillion, one hundred fifty-two billion, three hundred ninety-nine million, four hundred sixty-five thousand, fifty-six".