126877710468960 has 576 divisors, whose sum is σ = 474950698709760. Its totient is φ = 30587880960000.

The previous prime is 126877710468937. The next prime is 126877710468991. The reversal of 126877710468960 is 69864017778621.

126877710468960 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 7 + 7 + 71 + 0 + 468 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4348239651 + ... + 4348268829.

It is an arithmetic number, because the mean of its divisors is an integer number (824567185260).

Almost surely, 2^{126877710468960} is an apocalyptic number.

126877710468960 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 126877710468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237475349354880).

126877710468960 is an abundant number, since it is smaller than the sum of its proper divisors (348072988240800).

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

126877710468960 is a wasteful number, since it uses less digits than its factorization.

126877710468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30723 (or 30712 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 126877710468960 in words is "one hundred twenty-six trillion, eight hundred seventy-seven billion, seven hundred ten million, four hundred sixty-eight thousand, nine hundred sixty".