8725889606400 has 162 divisors, whose sum is σ = 31197024933620. Its totient is φ = 2326903879680.

The previous prime is 8725889606389. The next prime is 8725889606407. The reversal of 8725889606400 is 46069885278.

8725889606400 is a `hidden beast` number, since 8 + 7 + 2 + 588 + 9 + 6 + 0 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×8725889606400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8725889606407) 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 17 ways as a sum of consecutive naturals, for example, 75687970 + ... + 75803169.

Almost surely, 2^{8725889606400} is an apocalyptic number.

8725889606400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8725889606400 is an abundant number, since it is smaller than the sum of its proper divisors (22471135327220).

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

8725889606400 is a wasteful number, since it uses less digits than its factorization.

8725889606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151491171 (or 151491149 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 8725889606400 in words is "eight trillion, seven hundred twenty-five billion, eight hundred eighty-nine million, six hundred six thousand, four hundred".