126532082016 has 384 divisors, whose sum is σ = 417028953600. Its totient is φ = 37085921280.

The previous prime is 126532081993. The next prime is 126532082029. The reversal of 126532082016 is 610280235621.

126532082016 is a `hidden beast` number, since 126 + 5 + 320 + 8 + 201 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20369151 + ... + 20375361.

It is an arithmetic number, because the mean of its divisors is an integer number (1086012900).

Almost surely, 2^126532082016 is an apocalyptic number.

126532082016 is a gapful number since it is divisible by the number (16) 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 126532082016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208514476800).

126532082016 is an abundant number, since it is smaller than the sum of its proper divisors (290496871584).

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

126532082016 is a wasteful number, since it uses less digits than its factorization.

126532082016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 126532082016 in words is "one hundred twenty-six billion, five hundred thirty-two million, eighty-two thousand, sixteen".