8153680145280 has 512 divisors, whose sum is σ = 28504296576000. Its totient is φ = 1973300625408.

The previous prime is 8153680145279. The next prime is 8153680145321. The reversal of 8153680145280 is 825410863518.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 794158707 + ... + 794168973.

It is an arithmetic number, because the mean of its divisors is an integer number (55672454250).

Almost surely, 2^{8153680145280} is an apocalyptic number.

8153680145280 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 8153680145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252148288000).

8153680145280 is an abundant number, since it is smaller than the sum of its proper divisors (20350616430720).

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

8153680145280 is a wasteful number, since it uses less digits than its factorization.

8153680145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11174 (or 11162 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 8153680145280 in words is "eight trillion, one hundred fifty-three billion, six hundred eighty million, one hundred forty-five thousand, two hundred eighty".