126515457792 has 432 divisors, whose sum is σ = 388108506240. Its totient is φ = 41094107136.

The previous prime is 126515457781. The next prime is 126515457841. The reversal of 126515457792 is 297754515621.

126515457792 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 1 + 545 + 7 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×126515457792² (a number of 23 digits) contains 22 as substring.

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

Its product of digits (5292000) is a multiple of the sum of its prime factors (450).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552469134 + ... + 552469362.

It is an arithmetic number, because the mean of its divisors is an integer number (898399320).

Almost surely, 2^126515457792 is an apocalyptic number.

126515457792 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 126515457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194054253120).

126515457792 is an abundant number, since it is smaller than the sum of its proper divisors (261593048448).

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

126515457792 is an equidigital number, since it uses as much as digits as its factorization.

126515457792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 424 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 126515457792 in words is "one hundred twenty-six billion, five hundred fifteen million, four hundred fifty-seven thousand, seven hundred ninety-two".