125956964400 has 240 divisors, whose sum is σ = 441950061600. Its totient is φ = 30522490880.

The previous prime is 125956964387. The next prime is 125956964407. The reversal of 125956964400 is 4469659521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (125956964407) by changing a digit.

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, 485146 + ... + 698054.

It is an arithmetic number, because the mean of its divisors is an integer number (1841458590).

Almost surely, 2^125956964400 is an apocalyptic number.

125956964400 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 125956964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220975030800).

125956964400 is an abundant number, since it is smaller than the sum of its proper divisors (315993097200).

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

125956964400 is a wasteful number, since it uses less digits than its factorization.

125956964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212976 (or 212965 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 125956964400 in words is "one hundred twenty-five billion, nine hundred fifty-six million, nine hundred sixty-four thousand, four hundred".