7815082211328 has 384 divisors, whose sum is σ = 24693081154560. Its totient is φ = 2151394836480.

The previous prime is 7815082211317. The next prime is 7815082211333. The reversal of 7815082211328 is 8231122805187.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7815082211328² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 163879648 + ... + 163927328.

It is an arithmetic number, because the mean of its divisors is an integer number (64304898840).

Almost surely, 2^{7815082211328} 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 7815082211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346540577280).

7815082211328 is an abundant number, since it is smaller than the sum of its proper divisors (16877998943232).

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

7815082211328 is a wasteful number, since it uses less digits than its factorization.

7815082211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47853 (or 47833 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 7815082211328 in words is "seven trillion, eight hundred fifteen billion, eighty-two million, two hundred eleven thousand, three hundred twenty-eight".