125064426034080 has 2880 divisors, whose sum is σ = 523313980535808. Its totient is φ = 27926594519040.

The previous prime is 125064426034073. The next prime is 125064426034117. The reversal of 125064426034080 is 80430624460521.

125064426034080 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 6 + 44 + 260 + 340 + 8 + 0 = 666.

It is a super-2 number, since 2×125064426034080² (a number of 29 digits) contains 22 as substring.

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 479 ways as a sum of consecutive naturals, for example, 213056943547 + ... + 213056944133.

Almost surely, 2^{125064426034080} is an apocalyptic number.

125064426034080 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 125064426034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261656990267904).

125064426034080 is an abundant number, since it is smaller than the sum of its proper divisors (398249554501728).

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

125064426034080 is a wasteful number, since it uses less digits than its factorization.

125064426034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 125064426034080 in words is "one hundred twenty-five trillion, sixty-four billion, four hundred twenty-six million, thirty-four thousand, eighty".