126515579762080 has 384 divisors, whose sum is σ = 329336417894400. Its totient is φ = 45714246488064.

The previous prime is 126515579762063. The next prime is 126515579762093. The reversal of 126515579762080 is 80267975515621.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43223633577 + ... + 43223636503.

It is an arithmetic number, because the mean of its divisors is an integer number (857646921600).

Almost surely, 2^{126515579762080} is an apocalyptic number.

126515579762080 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 126515579762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164668208947200).

126515579762080 is an abundant number, since it is smaller than the sum of its proper divisors (202820838132320).

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

126515579762080 is a wasteful number, since it uses less digits than its factorization.

126515579762080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 64.

The spelling of 126515579762080 in words is "one hundred twenty-six trillion, five hundred fifteen billion, five hundred seventy-nine million, seven hundred sixty-two thousand, eighty".