129270758400 has 396 divisors, whose sum is σ = 528978567312. Its totient is φ = 29547233280.

The previous prime is 129270758339. The next prime is 129270758417. The reversal of 129270758400 is 4857072921.

It is a happy number.

129270758400 is a `hidden beast` number, since 129 + 2 + 70 + 7 + 58 + 400 = 666.

It is a super-2 number, since 2×129270758400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1572724 + ... + 1652876.

Almost surely, 2^129270758400 is an apocalyptic number.

129270758400 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 129270758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264489283656).

129270758400 is an abundant number, since it is smaller than the sum of its proper divisors (399707808912).

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

129270758400 is a wasteful number, since it uses less digits than its factorization.

129270758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80196 (or 80170 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 129270758400 in words is "one hundred twenty-nine billion, two hundred seventy million, seven hundred fifty-eight thousand, four hundred".