126772592789584 has 160 divisors (see below), whose sum is σ = 287059277030400. Its totient is φ = 54213673852800.

The previous prime is 126772592789527. The next prime is 126772592789587. The reversal of 126772592789584 is 485987295277621.

It is a junction number, because it is equal to n+sod(n) for n = 126772592789498 and 126772592789507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126772592789587) 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, 5738642379 + ... + 5738664469.

It is an arithmetic number, because the mean of its divisors is an integer number (1794120481440).

Almost surely, 2^{126772592789584} is an apocalyptic number.

126772592789584 is a gapful number since it is divisible by the number (14) 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 126772592789584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143529638515200).

126772592789584 is an abundant number, since it is smaller than the sum of its proper divisors (160286684240816).

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

126772592789584 is a wasteful number, since it uses less digits than its factorization.

126772592789584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24334 (or 24314 counting only the distinct ones).

The product of its digits is 8534937600, while the sum is 82.

The spelling of 126772592789584 in words is "one hundred twenty-six trillion, seven hundred seventy-two billion, five hundred ninety-two million, seven hundred eighty-nine thousand, five hundred eighty-four".