16129774080 has 1280 divisors, whose sum is σ = 72548213760. Its totient is φ = 3312451584.

The previous prime is 16129774079. The next prime is 16129774127. The reversal of 16129774080 is 8047792161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×16129774080² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304335334 + ... + 304335386.

It is an arithmetic number, because the mean of its divisors is an integer number (56678292).

Almost surely, 2^16129774080 is an apocalyptic number.

16129774080 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 16129774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36274106880).

16129774080 is an abundant number, since it is smaller than the sum of its proper divisors (56418439680).

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

16129774080 is a wasteful number, since it uses less digits than its factorization.

16129774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 16129774080 in words is "sixteen billion, one hundred twenty-nine million, seven hundred seventy-four thousand, eighty".