8270768125152 has 192 divisors, whose sum is σ = 25989312303360. Its totient is φ = 2543811651072.

The previous prime is 8270768125099. The next prime is 8270768125183. The reversal of 8270768125152 is 2515218670728.

It is a happy number.

8270768125152 is a `hidden beast` number, since 8 + 270 + 76 + 8 + 1 + 251 + 52 = 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 31 ways as a sum of consecutive naturals, for example, 27560103 + ... + 27858585.

It is an arithmetic number, because the mean of its divisors is an integer number (135361001580).

Almost surely, 2^{8270768125152} 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 8270768125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994656151680).

8270768125152 is an abundant number, since it is smaller than the sum of its proper divisors (17718544178208).

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

8270768125152 is a wasteful number, since it uses less digits than its factorization.

8270768125152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300982 (or 300968 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 8270768125152 in words is "eight trillion, two hundred seventy billion, seven hundred sixty-eight million, one hundred twenty-five thousand, one hundred fifty-two".