8153681565120 has 1344 divisors, whose sum is σ = 35093805880320. Its totient is φ = 1563201110016.

The previous prime is 8153681565109. The next prime is 8153681565143. The reversal of 8153681565120 is 215651863518.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×8153681565120² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 559882959 + ... + 559897521.

Almost surely, 2^{8153681565120} is an apocalyptic number.

8153681565120 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 8153681565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17546902940160).

8153681565120 is an abundant number, since it is smaller than the sum of its proper divisors (26940124315200).

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

8153681565120 is a wasteful number, since it uses less digits than its factorization.

8153681565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14662 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 51.

The spelling of 8153681565120 in words is "eight trillion, one hundred fifty-three billion, six hundred eighty-one million, five hundred sixty-five thousand, one hundred twenty".