8053296672240 has 320 divisors, whose sum is σ = 27810783388800. Its totient is φ = 2142005354496.

The previous prime is 8053296672233. The next prime is 8053296672241. The reversal of 8053296672240 is 422766923508.

8053296672240 is a `hidden beast` number, since 8 + 0 + 5 + 329 + 6 + 6 + 72 + 240 = 666.

It is a super-2 number, since 2×8053296672240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8053296672241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2590315806 + ... + 2590318914.

It is an arithmetic number, because the mean of its divisors is an integer number (86908698090).

Almost surely, 2^{8053296672240} is an apocalyptic number.

8053296672240 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 8053296672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13905391694400).

8053296672240 is an abundant number, since it is smaller than the sum of its proper divisors (19757486716560).

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

8053296672240 is a wasteful number, since it uses less digits than its factorization.

8053296672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 8053296672240 in words is "eight trillion, fifty-three billion, two hundred ninety-six million, six hundred seventy-two thousand, two hundred forty".