125065698408 has 576 divisors, whose sum is σ = 432501189120. Its totient is φ = 33704294400.

The previous prime is 125065698361. The next prime is 125065698419. The reversal of 125065698408 is 804896560521.

125065698408 is a `hidden beast` number, since 1 + 2 + 506 + 5 + 6 + 98 + 40 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121069860 + ... + 121070892.

It is an arithmetic number, because the mean of its divisors is an integer number (750870120).

Almost surely, 2^125065698408 is an apocalyptic number.

125065698408 is a gapful number since it is divisible by the number (18) 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 125065698408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216250594560).

125065698408 is an abundant number, since it is smaller than the sum of its proper divisors (307435490712).

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

125065698408 is a wasteful number, since it uses less digits than its factorization.

125065698408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 125065698408 in words is "one hundred twenty-five billion, sixty-five million, six hundred ninety-eight thousand, four hundred eight".