681771525120 has 1056 divisors, whose sum is σ = 2889254624256. Its totient is φ = 145096704000.

The previous prime is 681771525107. The next prime is 681771525151. The reversal of 681771525120 is 21525177186.

681771525120 is a `hidden beast` number, since 6 + 8 + 17 + 71 + 52 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553834905 + ... + 553836135.

It is an arithmetic number, because the mean of its divisors is an integer number (2736036576).

Almost surely, 2^681771525120 is an apocalyptic number.

681771525120 is a gapful number since it is divisible by the number (60) 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 681771525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444627312128).

681771525120 is an abundant number, since it is smaller than the sum of its proper divisors (2207483099136).

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

681771525120 is a wasteful number, since it uses less digits than its factorization.

681771525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 681771525120 in words is "six hundred eighty-one billion, seven hundred seventy-one million, five hundred twenty-five thousand, one hundred twenty".