126887538960 has 1920 divisors, whose sum is σ = 602292879360. Its totient is φ = 23911759872.

The previous prime is 126887538949. The next prime is 126887538979. The reversal of 126887538960 is 69835788621.

126887538960 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 8 + 7 + 538 + 96 + 0 = 666.

It is a super-2 number, since 2×126887538960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 999114417 + ... + 999114543.

It is an arithmetic number, because the mean of its divisors is an integer number (313694208).

Almost surely, 2^126887538960 is an apocalyptic number.

126887538960 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 126887538960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301146439680).

126887538960 is an abundant number, since it is smaller than the sum of its proper divisors (475405340400).

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

126887538960 is a wasteful number, since it uses less digits than its factorization.

126887538960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 126887538960 in words is "one hundred twenty-six billion, eight hundred eighty-seven million, five hundred thirty-eight thousand, nine hundred sixty".