6129996751872 has 528 divisors, whose sum is σ = 21211308768000. Its totient is φ = 1743691235328.

The previous prime is 6129996751807. The next prime is 6129996751913. The reversal of 6129996751872 is 2781576999216.

6129996751872 is a `hidden beast` number, since 6 + 1 + 299 + 96 + 75 + 187 + 2 = 666.

It is a super-2 number, since 2×6129996751872² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6129996751872.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310228329 + ... + 310248087.

Almost surely, 2^{6129996751872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6129996751872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10605654384000).

6129996751872 is an abundant number, since it is smaller than the sum of its proper divisors (15081312016128).

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

6129996751872 is a wasteful number, since it uses less digits than its factorization.

6129996751872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20031 (or 20000 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 6129996751872 in words is "six trillion, one hundred twenty-nine billion, nine hundred ninety-six million, seven hundred fifty-one thousand, eight hundred seventy-two".