126930897792 has 384 divisors, whose sum is σ = 396389136000. Its totient is φ = 38856609792.

The previous prime is 126930897767. The next prime is 126930897799. The reversal of 126930897792 is 297798039621.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×126930897792² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126930897799) 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 47 ways as a sum of consecutive naturals, for example, 147765459 + ... + 147766317.

It is an arithmetic number, because the mean of its divisors is an integer number (1032263375).

Almost surely, 2^126930897792 is an apocalyptic number.

126930897792 is a gapful number since it is divisible by the number (12) 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 126930897792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198194568000).

126930897792 is an abundant number, since it is smaller than the sum of its proper divisors (269458238208).

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

126930897792 is a wasteful number, since it uses less digits than its factorization.

126930897792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 126930897792 in words is "one hundred twenty-six billion, nine hundred thirty million, eight hundred ninety-seven thousand, seven hundred ninety-two".