125704465380 has 480 divisors, whose sum is σ = 438371856384. Its totient is φ = 29957630976.

The previous prime is 125704465363. The next prime is 125704465387. The reversal of 125704465380 is 83564407521.

125704465380 is a `hidden beast` number, since 1 + 2 + 5 + 70 + 4 + 46 + 538 + 0 = 666.

It is a super-2 number, since 2×125704465380² (a number of 23 digits) contains 22 as substring.

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 (125704465387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 115008114 + ... + 115009206.

Almost surely, 2^125704465380 is an apocalyptic number.

125704465380 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 125704465380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219185928192).

125704465380 is an abundant number, since it is smaller than the sum of its proper divisors (312667391004).

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

125704465380 is a wasteful number, since it uses less digits than its factorization.

125704465380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 125704465380 in words is "one hundred twenty-five billion, seven hundred four million, four hundred sixty-five thousand, three hundred eighty".