125781776640 has 504 divisors, whose sum is σ = 486518214840. Its totient is φ = 30958682112.

The previous prime is 125781776599. The next prime is 125781776699. The reversal of 125781776640 is 46677187521.

125781776640 is a `hidden beast` number, since 1 + 2 + 578 + 1 + 7 + 7 + 6 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2732361984 + 123049414656 = 52272^2 + 350784^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12125376 + ... + 12135744.

Almost surely, 2^125781776640 is an apocalyptic number.

125781776640 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 125781776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243259107420).

125781776640 is an abundant number, since it is smaller than the sum of its proper divisors (360736438200).

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

125781776640 is an equidigital number, since it uses as much as digits as its factorization.

125781776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10421 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 125781776640 in words is "one hundred twenty-five billion, seven hundred eighty-one million, seven hundred seventy-six thousand, six hundred forty".