125877646440 has 576 divisors, whose sum is σ = 529064040960. Its totient is φ = 25700613120.

The previous prime is 125877646423. The next prime is 125877646469. The reversal of 125877646440 is 44646778521.

125877646440 is a `hidden beast` number, since 12 + 5 + 87 + 76 + 46 + 440 = 666.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 7100067 + ... + 7117773.

It is an arithmetic number, because the mean of its divisors is an integer number (918513960).

Almost surely, 2^125877646440 is an apocalyptic number.

125877646440 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 125877646440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264532020480).

125877646440 is an abundant number, since it is smaller than the sum of its proper divisors (403186394520).

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

125877646440 is a wasteful number, since it uses less digits than its factorization.

125877646440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17782 (or 17768 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 125877646440 in words is "one hundred twenty-five billion, eight hundred seventy-seven million, six hundred forty-six thousand, four hundred forty".