16147105920 has 1024 divisors, whose sum is σ = 69797376000. Its totient is φ = 3477012480.

The previous prime is 16147105883. The next prime is 16147105943. The reversal of 16147105920 is 2950174161.

16147105920 is a `hidden beast` number, since 1 + 61 + 4 + 7 + 1 + 0 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 61395709 + ... + 61395971.

It is an arithmetic number, because the mean of its divisors is an integer number (68161500).

Almost surely, 2^16147105920 is an apocalyptic number.

16147105920 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 16147105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34898688000).

16147105920 is an abundant number, since it is smaller than the sum of its proper divisors (53650270080).

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

16147105920 is a wasteful number, since it uses less digits than its factorization.

16147105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 16147105920 in words is "sixteen billion, one hundred forty-seven million, one hundred five thousand, nine hundred twenty".