126725252530176 has 720 divisors, whose sum is σ = 395291818871040. Its totient is φ = 40519564001280.

The previous prime is 126725252530153. The next prime is 126725252530189. The reversal of 126725252530176 is 671035252527621.

126725252530176 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 52 + 52 + 530 + 1 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18126910041 + ... + 18126917031.

Almost surely, 2^{126725252530176} is an apocalyptic number.

126725252530176 is a gapful number since it is divisible by the number (16) 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 126725252530176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197645909435520).

126725252530176 is an abundant number, since it is smaller than the sum of its proper divisors (268566566340864).

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

126725252530176 is an frugal number, since it uses more digits than its factorization.

126725252530176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7182 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 126725252530176 in words is "one hundred twenty-six trillion, seven hundred twenty-five billion, two hundred fifty-two million, five hundred thirty thousand, one hundred seventy-six".