125352508055040 has 800 divisors, whose sum is σ = 530805785273280. Its totient is φ = 27663992487936.

The previous prime is 125352508055029. The next prime is 125352508055041. The reversal of 125352508055040 is 40550805253521.

125352508055040 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 5 + 2 + 50 + 8 + 0 + 550 + 40 = 666.

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 (125352508055041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40605124 + ... + 43583036.

Almost surely, 2^{125352508055040} is an apocalyptic number.

125352508055040 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 125352508055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265402892636640).

125352508055040 is an abundant number, since it is smaller than the sum of its proper divisors (405453277218240).

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

125352508055040 is an equidigital number, since it uses as much as digits as its factorization.

125352508055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977984 (or 2977959 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 125352508055040 in words is "one hundred twenty-five trillion, three hundred fifty-two billion, five hundred eight million, fifty-five thousand, forty".