126518542920 has 2304 divisors, whose sum is σ = 602322739200. Its totient is φ = 23514624000.

The previous prime is 126518542919. The next prime is 126518542937. The reversal of 126518542920 is 29245815621.

126518542920 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 18 + 542 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3085818100 + ... + 3085818140.

It is an arithmetic number, because the mean of its divisors is an integer number (261424800).

Almost surely, 2^126518542920 is an apocalyptic number.

126518542920 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 126518542920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301161369600).

126518542920 is an abundant number, since it is smaller than the sum of its proper divisors (475804196280).

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

126518542920 is a wasteful number, since it uses less digits than its factorization.

126518542920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 126518542920 in words is "one hundred twenty-six billion, five hundred eighteen million, five hundred forty-two thousand, nine hundred twenty".