125681264640 has 288 divisors, whose sum is σ = 438767128800. Its totient is φ = 33270497280.

The previous prime is 125681264623. The next prime is 125681264663. The reversal of 125681264640 is 46462186521.

It is a happy number.

125681264640 is a `hidden beast` number, since 1 + 2 + 5 + 68 + 126 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12805335 + ... + 12815145.

It is an arithmetic number, because the mean of its divisors is an integer number (1523496975).

Almost surely, 2^125681264640 is an apocalyptic number.

125681264640 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 125681264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219383564400).

125681264640 is an abundant number, since it is smaller than the sum of its proper divisors (313085864160).

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

125681264640 is a wasteful number, since it uses less digits than its factorization.

125681264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9983 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 125681264640 in words is "one hundred twenty-five billion, six hundred eighty-one million, two hundred sixty-four thousand, six hundred forty".