8140753427520 has 448 divisors, whose sum is σ = 29958971466240. Its totient is φ = 1834333765632.

The previous prime is 8140753427501. The next prime is 8140753427533. The reversal of 8140753427520 is 257243570418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8140753427520.

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 63 ways as a sum of consecutive naturals, for example, 1625222776 + ... + 1625227784.

Almost surely, 2^{8140753427520} is an apocalyptic number.

8140753427520 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 8140753427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14979485733120).

8140753427520 is an abundant number, since it is smaller than the sum of its proper divisors (21818218038720).

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

8140753427520 is a wasteful number, since it uses less digits than its factorization.

8140753427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8412 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

Adding to 8140753427520 its reverse (257243570418), we get a palindrome (8397996997938).

The spelling of 8140753427520 in words is "eight trillion, one hundred forty billion, seven hundred fifty-three million, four hundred twenty-seven thousand, five hundred twenty".