125785795200 has 384 divisors, whose sum is σ = 447496358400. Its totient is φ = 30871142400.

The previous prime is 125785795199. The next prime is 125785795253. The reversal of 125785795200 is 2597587521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 48545905 + ... + 48548495.

It is an arithmetic number, because the mean of its divisors is an integer number (1165355100).

Almost surely, 2^125785795200 is an apocalyptic number.

125785795200 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 125785795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223748179200).

125785795200 is an abundant number, since it is smaller than the sum of its proper divisors (321710563200).

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

125785795200 is a wasteful number, since it uses less digits than its factorization.

125785795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 51.

The spelling of 125785795200 in words is "one hundred twenty-five billion, seven hundred eighty-five million, seven hundred ninety-five thousand, two hundred".