125782784640 has 384 divisors, whose sum is σ = 469575849600. Its totient is φ = 30916878336.

The previous prime is 125782784639. The next prime is 125782784663. The reversal of 125782784640 is 46487287521.

125782784640 is a `hidden beast` number, since 1 + 2 + 578 + 2 + 7 + 8 + 4 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4033749 + ... + 4064811.

It is an arithmetic number, because the mean of its divisors is an integer number (1222853775).

Almost surely, 2^125782784640 is an apocalyptic number.

125782784640 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 125782784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234787924800).

125782784640 is an abundant number, since it is smaller than the sum of its proper divisors (343793064960).

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

125782784640 is a wasteful number, since it uses less digits than its factorization.

125782784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31144 (or 31129 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 125782784640 in words is "one hundred twenty-five billion, seven hundred eighty-two million, seven hundred eighty-four thousand, six hundred forty".