129885086822400 has 7020 divisors, whose sum is σ = 635845501836864. Its totient is φ = 26085556224000.

The previous prime is 129885086822389. The next prime is 129885086822417. The reversal of 129885086822400 is 4228680588921.

129885086822400 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 8 + 508 + 6 + 82 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7020).

It is a super-2 number, since 2×129885086822400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 2129263718370 + ... + 2129263718430.

Almost surely, 2^{129885086822400} is an apocalyptic number.

129885086822400 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 129885086822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317922750918432).

129885086822400 is an abundant number, since it is smaller than the sum of its proper divisors (505960415014464).

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

129885086822400 is a wasteful number, since it uses less digits than its factorization.

129885086822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 129885086822400 in words is "one hundred twenty-nine trillion, eight hundred eighty-five billion, eighty-six million, eight hundred twenty-two thousand, four hundred".