8134790267520 has 768 divisors, whose sum is σ = 34820990830080. Its totient is φ = 1707316346880.

The previous prime is 8134790267501. The next prime is 8134790267563. The reversal of 8134790267520 is 257620974318.

It is a happy number.

8134790267520 is a `hidden beast` number, since 8 + 1 + 3 + 4 + 7 + 90 + 26 + 7 + 520 = 666.

It is a super-2 number, since 2×8134790267520² (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 95 ways as a sum of consecutive naturals, for example, 27958309 + ... + 28247771.

It is an arithmetic number, because the mean of its divisors is an integer number (45339831810).

It is a 1-persistent number, because it is pandigital, but 2⋅8134790267520 = 16269580535040 is not.

Almost surely, 2^{8134790267520} is an apocalyptic number.

8134790267520 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 8134790267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410495415040).

8134790267520 is an abundant number, since it is smaller than the sum of its proper divisors (26686200562560).

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

8134790267520 is a wasteful number, since it uses less digits than its factorization.

8134790267520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289553 (or 289538 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 8134790267520 in words is "eight trillion, one hundred thirty-four billion, seven hundred ninety million, two hundred sixty-seven thousand, five hundred twenty".