125000690400 has 720 divisors, whose sum is σ = 471767711184. Its totient is φ = 32188907520.

The previous prime is 125000690393. The next prime is 125000690401. The reversal of 125000690400 is 4096000521.

125000690400 is a `hidden beast` number, since 1 + 250 + 0 + 0 + 6 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125000690401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 314863002 + ... + 314863398.

Almost surely, 2^125000690400 is an apocalyptic number.

125000690400 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 125000690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235883855592).

125000690400 is an abundant number, since it is smaller than the sum of its proper divisors (346767020784).

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

125000690400 is a wasteful number, since it uses less digits than its factorization.

125000690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 125000690400 its reverse (4096000521), we get a palindrome (129096690921).

The spelling of 125000690400 in words is "one hundred twenty-five billion, six hundred ninety thousand, four hundred".