129077606400 has 288 divisors, whose sum is σ = 436658302080. Its totient is φ = 33618493440.

The previous prime is 129077606393. The next prime is 129077606429. The reversal of 129077606400 is 4606770921.

It is a super-2 number, since 2×129077606400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 6595029 + ... + 6614571.

It is an arithmetic number, because the mean of its divisors is an integer number (1516174660).

Almost surely, 2^129077606400 is an apocalyptic number.

129077606400 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 129077606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218329151040).

129077606400 is an abundant number, since it is smaller than the sum of its proper divisors (307580695680).

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

129077606400 is a wasteful number, since it uses less digits than its factorization.

129077606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19621 (or 19596 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 129077606400 in words is "one hundred twenty-nine billion, seventy-seven million, six hundred six thousand, four hundred".