125571600648 has 512 divisors, whose sum is σ = 411099494400. Its totient is φ = 35162947584.

The previous prime is 125571600643. The next prime is 125571600659. The reversal of 125571600648 is 846006175521.

125571600648 is a `hidden beast` number, since 12 + 5 + 571 + 6 + 0 + 0 + 64 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (125571600643) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217628136 + ... + 217628712.

It is an arithmetic number, because the mean of its divisors is an integer number (802928700).

Almost surely, 2^125571600648 is an apocalyptic number.

125571600648 is a gapful number since it is divisible by the number (18) 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 125571600648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205549747200).

125571600648 is an abundant number, since it is smaller than the sum of its proper divisors (285527893752).

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

125571600648 is a wasteful number, since it uses less digits than its factorization.

125571600648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 125571600648 in words is "one hundred twenty-five billion, five hundred seventy-one million, six hundred thousand, six hundred forty-eight".