125480102670 has 640 divisors, whose sum is σ = 410983372800. Its totient is φ = 27133636608.

The previous prime is 125480102663. The next prime is 125480102701. The reversal of 125480102670 is 76201084521.

125480102670 is a `hidden beast` number, since 1 + 2 + 5 + 480 + 102 + 6 + 70 = 666.

It is a super-2 number, since 2×125480102670² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 268693777 + ... + 268694243.

It is an arithmetic number, because the mean of its divisors is an integer number (642161520).

Almost surely, 2^125480102670 is an apocalyptic number.

125480102670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125480102670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205491686400).

125480102670 is an abundant number, since it is smaller than the sum of its proper divisors (285503270130).

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

125480102670 is a wasteful number, since it uses less digits than its factorization.

125480102670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

It can be divided in two parts, 125480 and 102670, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 125480102670 in words is "one hundred twenty-five billion, four hundred eighty million, one hundred two thousand, six hundred seventy".