125187622560 has 1728 divisors, whose sum is σ = 615498549120. Its totient is φ = 22713384960.

The previous prime is 125187622543. The next prime is 125187622561. The reversal of 125187622560 is 65226781521.

125187622560 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 87 + 6 + 2 + 2 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125187622561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 191711194 + ... + 191711846.

It is an arithmetic number, because the mean of its divisors is an integer number (356191290).

Almost surely, 2^125187622560 is an apocalyptic number.

125187622560 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 125187622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307749274560).

125187622560 is an abundant number, since it is smaller than the sum of its proper divisors (490310926560).

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

125187622560 is a wasteful number, since it uses less digits than its factorization.

125187622560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 713 counting only the distinct ones).

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

It can be divided in two parts, 125187 and 622560, that added together give a palindrome (747747).

The spelling of 125187622560 in words is "one hundred twenty-five billion, one hundred eighty-seven million, six hundred twenty-two thousand, five hundred sixty".