125934796800 has 1152 divisors, whose sum is σ = 507083616000. Its totient is φ = 29727129600.

The previous prime is 125934796789. The next prime is 125934796807. The reversal of 125934796800 is 8697439521.

125934796800 is a `hidden beast` number, since 1 + 2 + 5 + 93 + 479 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (125934796807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4062412785 + ... + 4062412815.

It is an arithmetic number, because the mean of its divisors is an integer number (440176750).

It is a 1-persistent number, because it is pandigital, but 2⋅125934796800 = 251869593600 is not.

Almost surely, 2^125934796800 is an apocalyptic number.

125934796800 is a gapful number since it is divisible by the number (10) 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 125934796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253541808000).

125934796800 is an abundant number, since it is smaller than the sum of its proper divisors (381148819200).

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

125934796800 is a wasteful number, since it uses less digits than its factorization.

125934796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 125934796800 in words is "one hundred twenty-five billion, nine hundred thirty-four million, seven hundred ninety-six thousand, eight hundred".