125821293696 has 288 divisors, whose sum is σ = 424516884480. Its totient is φ = 35663846400.

The previous prime is 125821293677. The next prime is 125821293709. The reversal of 125821293696 is 696392128521.

125821293696 is a `hidden beast` number, since 1 + 2 + 582 + 1 + 29 + 36 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7160121 + ... + 7177671.

It is an arithmetic number, because the mean of its divisors is an integer number (1474016960).

Almost surely, 2^125821293696 is an apocalyptic number.

125821293696 is a gapful number since it is divisible by the number (16) 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 125821293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212258442240).

125821293696 is an abundant number, since it is smaller than the sum of its proper divisors (298695590784).

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

125821293696 is a wasteful number, since it uses less digits than its factorization.

125821293696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17712 (or 17690 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 125821293696 in words is "one hundred twenty-five billion, eight hundred twenty-one million, two hundred ninety-three thousand, six hundred ninety-six".