7828508160000 has 3120 divisors, whose sum is σ = 34489451842560. Its totient is φ = 1686896640000.

The previous prime is 7828508159999. The next prime is 7828508160001. The reversal of 7828508160000 is 618058287.

7828508160000 is a `hidden beast` number, since 7 + 82 + 8 + 508 + 1 + 60 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7828508159999) and next prime (7828508160001).

It is a super-2 number, since 2×7828508160000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7828508160001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 99095039961 + ... + 99095040039.

It is an arithmetic number, because the mean of its divisors is an integer number (11054311488).

Almost surely, 2^{7828508160000} 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 7828508160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244725921280).

7828508160000 is an abundant number, since it is smaller than the sum of its proper divisors (26660943682560).

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

7828508160000 is a wasteful number, since it uses less digits than its factorization.

7828508160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 7828508160000 in words is "seven trillion, eight hundred twenty-eight billion, five hundred eight million, one hundred sixty thousand".