126979964928 has 384 divisors, whose sum is σ = 391599411840. Its totient is φ = 41087139840.

The previous prime is 126979964911. The next prime is 126979964933. The reversal of 126979964928 is 829469979621.

126979964928 is a `hidden beast` number, since 1 + 2 + 69 + 79 + 9 + 6 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×126979964928² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294616873 + ... + 294617303.

It is an arithmetic number, because the mean of its divisors is an integer number (1019790135).

Almost surely, 2^126979964928 is an apocalyptic number.

126979964928 is a gapful number since it is divisible by the number (18) 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 126979964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195799705920).

126979964928 is an abundant number, since it is smaller than the sum of its proper divisors (264619446912).

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

126979964928 is an frugal number, since it uses more digits than its factorization.

126979964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 473 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 126979964928 in words is "one hundred twenty-six billion, nine hundred seventy-nine million, nine hundred sixty-four thousand, nine hundred twenty-eight".