125541004680 has 1024 divisors, whose sum is σ = 532224000000. Its totient is φ = 26153487360.

The previous prime is 125541004679. The next prime is 125541004703. The reversal of 125541004680 is 86400145521.

It is a happy number.

125541004680 is a `hidden beast` number, since 12 + 554 + 10 + 0 + 4 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 630859221 + ... + 630859419.

It is an arithmetic number, because the mean of its divisors is an integer number (519750000).

Almost surely, 2^125541004680 is an apocalyptic number.

125541004680 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 125541004680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112000000).

125541004680 is an abundant number, since it is smaller than the sum of its proper divisors (406682995320).

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

125541004680 is a wasteful number, since it uses less digits than its factorization.

125541004680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 125541004680 in words is "one hundred twenty-five billion, five hundred forty-one million, four thousand, six hundred eighty".