8425957727880 has 2304 divisors, whose sum is σ = 37087464960000. Its totient is φ = 1682773678080.

The previous prime is 8425957727879. The next prime is 8425957727909. The reversal of 8425957727880 is 887277595248.

8425957727880 is a `hidden beast` number, since 8 + 4 + 2 + 595 + 7 + 7 + 27 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8425957727799 and 8425957727808.

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 575 ways as a sum of consecutive naturals, for example, 42341496021 + ... + 42341496219.

It is an arithmetic number, because the mean of its divisors is an integer number (16096990000).

Almost surely, 2^{8425957727880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8425957727880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543732480000).

8425957727880 is an abundant number, since it is smaller than the sum of its proper divisors (28661507232120).

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

8425957727880 is a wasteful number, since it uses less digits than its factorization.

8425957727880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 72.

The spelling of 8425957727880 in words is "eight trillion, four hundred twenty-five billion, nine hundred fifty-seven million, seven hundred twenty-seven thousand, eight hundred eighty".