8295213134880 has 288 divisors, whose sum is σ = 33394923813888. Its totient is φ = 1834885785600.

The previous prime is 8295213134869. The next prime is 8295213134899. The reversal of 8295213134880 is 884313125928.

8295213134880 is a `hidden beast` number, since 8 + 2 + 9 + 5 + 213 + 1 + 348 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8295213134880² (a number of 27 digits) contains 22 as substring.

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, 12960711 + ... + 13585670.

It is an arithmetic number, because the mean of its divisors is an integer number (115954596576).

Almost surely, 2^{8295213134880} is an apocalyptic number.

8295213134880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8295213134880 is an abundant number, since it is smaller than the sum of its proper divisors (25099710679008).

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

8295213134880 is a wasteful number, since it uses less digits than its factorization.

8295213134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26546440 (or 26546429 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 8295213134880 in words is "eight trillion, two hundred ninety-five billion, two hundred thirteen million, one hundred thirty-four thousand, eight hundred eighty".