8135947048320 has 2560 divisors, whose sum is σ = 37152184608000. Its totient is φ = 1685528248320.

The previous prime is 8135947048283. The next prime is 8135947048343. The reversal of 8135947048320 is 238407495318.

It is a happy number.

8135947048320 is a `hidden beast` number, since 8 + 1 + 3 + 5 + 94 + 70 + 483 + 2 + 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 319 ways as a sum of consecutive naturals, for example, 14100427872 + ... + 14100428448.

Almost surely, 2^{8135947048320} is an apocalyptic number.

8135947048320 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 8135947048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576092304000).

8135947048320 is an abundant number, since it is smaller than the sum of its proper divisors (29016237559680).

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

8135947048320 is a wasteful number, since it uses less digits than its factorization.

8135947048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 8135947048320 in words is "eight trillion, one hundred thirty-five billion, nine hundred forty-seven million, forty-eight thousand, three hundred twenty".