126722156520960 has 2400 divisors, whose sum is σ = 614031358602816. Its totient is φ = 24305909760000.

The previous prime is 126722156520943. The next prime is 126722156520989. The reversal of 126722156520960 is 69025651227621.

126722156520960 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 2 + 1 + 56 + 520 + 9 + 60 = 666.

126722156520960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×126722156520960³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 126722156520897 and 126722156520906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2283213210 + ... + 2283268710.

Almost surely, 2^{126722156520960} is an apocalyptic number.

126722156520960 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 126722156520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307015679301408).

126722156520960 is an abundant number, since it is smaller than the sum of its proper divisors (487309202081856).

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

126722156520960 is a wasteful number, since it uses less digits than its factorization.

126722156520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55578 (or 55542 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 126722156520960 in words is "one hundred twenty-six trillion, seven hundred twenty-two billion, one hundred fifty-six million, five hundred twenty thousand, nine hundred sixty".