125215856640 has 1536 divisors, whose sum is σ = 554770944000. Its totient is φ = 26159874048.

The previous prime is 125215856627. The next prime is 125215856641. The reversal of 125215856640 is 46658512521.

125215856640 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 1 + 585 + 6 + 64 + 0 = 666.

125215856640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125215856641) 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, 1290885072 + ... + 1290885168.

It is an arithmetic number, because the mean of its divisors is an integer number (361179000).

Almost surely, 2^125215856640 is an apocalyptic number.

125215856640 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 125215856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277385472000).

125215856640 is an abundant number, since it is smaller than the sum of its proper divisors (429555087360).

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

125215856640 is a wasteful number, since it uses less digits than its factorization.

125215856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 125215856640 in words is "one hundred twenty-five billion, two hundred fifteen million, eight hundred fifty-six thousand, six hundred forty".