126873879552 has 1320 divisors, whose sum is σ = 487923575040. Its totient is φ = 32606945280.

The previous prime is 126873879551. The next prime is 126873879593. The reversal of 126873879552 is 255978378621.

126873879552 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 7 + 3 + 8 + 79 + 552 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126873879552.

It is not an unprimeable number, because it can be changed into a prime (126873879551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2393846758 + ... + 2393846810.

It is an arithmetic number, because the mean of its divisors is an integer number (369639072).

Almost surely, 2^126873879552 is an apocalyptic number.

126873879552 is a gapful number since it is divisible by the number (12) 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 126873879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243961787520).

126873879552 is an abundant number, since it is smaller than the sum of its proper divisors (361049695488).

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

126873879552 is a wasteful number, since it uses less digits than its factorization.

126873879552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 126873879552 in words is "one hundred twenty-six billion, eight hundred seventy-three million, eight hundred seventy-nine thousand, five hundred fifty-two".