126357027216 has 320 divisors, whose sum is σ = 403475890176. Its totient is φ = 33281740800.

The previous prime is 126357027157. The next prime is 126357027229. The reversal of 126357027216 is 612720753621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67317670 + ... + 67319546.

Almost surely, 2^126357027216 is an apocalyptic number.

126357027216 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 126357027216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201737945088).

126357027216 is an abundant number, since it is smaller than the sum of its proper divisors (277118862960).

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

126357027216 is a wasteful number, since it uses less digits than its factorization.

126357027216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 126357027216 in words is "one hundred twenty-six billion, three hundred fifty-seven million, twenty-seven thousand, two hundred sixteen".