126920591520 has 192 divisors, whose sum is σ = 409300625664. Its totient is φ = 33050419200.

The previous prime is 126920591519. The next prime is 126920591521. The reversal of 126920591520 is 25195029621.

It is a happy number.

126920591520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (126920591519) and next prime (126920591521).

It is a super-2 number, since 2×126920591520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126920591521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3521109 + ... + 3556971.

It is an arithmetic number, because the mean of its divisors is an integer number (2131774092).

Almost surely, 2^126920591520 is an apocalyptic number.

126920591520 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 126920591520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204650312832).

126920591520 is an abundant number, since it is smaller than the sum of its proper divisors (282380034144).

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

126920591520 is a wasteful number, since it uses less digits than its factorization.

126920591520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36055 (or 36047 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 126920591520 in words is "one hundred twenty-six billion, nine hundred twenty million, five hundred ninety-one thousand, five hundred twenty".