8211735561120 has 2304 divisors, whose sum is σ = 35231051907072. Its totient is φ = 1563580661760.

The previous prime is 8211735561079. The next prime is 8211735561143. The reversal of 8211735561120 is 211655371128.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52304048082 + ... + 52304048238.

It is an arithmetic number, because the mean of its divisors is an integer number (15291255168).

Almost surely, 2^{8211735561120} is an apocalyptic number.

8211735561120 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 8211735561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17615525953536).

8211735561120 is an abundant number, since it is smaller than the sum of its proper divisors (27019316345952).

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

8211735561120 is a wasteful number, since it uses less digits than its factorization.

8211735561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 8211735561120 in words is "eight trillion, two hundred eleven billion, seven hundred thirty-five million, five hundred sixty-one thousand, one hundred twenty".