125023046400 has 1080 divisors, whose sum is σ = 534362298624. Its totient is φ = 28250726400.

The previous prime is 125023046387. The next prime is 125023046411. The reversal of 125023046400 is 4640320521.

125023046400 is a `hidden beast` number, since 1 + 25 + 0 + 230 + 4 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×125023046400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 475372669 + ... + 475372931.

Almost surely, 2^125023046400 is an apocalyptic number.

125023046400 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 125023046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267181149312).

125023046400 is an abundant number, since it is smaller than the sum of its proper divisors (409339252224).

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

125023046400 is a wasteful number, since it uses less digits than its factorization.

125023046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 125023046400 its reverse (4640320521), we get a palindrome (129663366921).

The spelling of 125023046400 in words is "one hundred twenty-five billion, twenty-three million, forty-six thousand, four hundred".