16072977600 has 504 divisors, whose sum is σ = 59466589728. Its totient is φ = 4114022400.

The previous prime is 16072977551. The next prime is 16072977623. The reversal of 16072977600 is 677927061.

16072977600 is a `hidden beast` number, since 16 + 0 + 7 + 29 + 7 + 7 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 51681445 + ... + 51681755.

Almost surely, 2^16072977600 is an apocalyptic number.

16072977600 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 16072977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29733294864).

16072977600 is an abundant number, since it is smaller than the sum of its proper divisors (43393612128).

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

16072977600 is a wasteful number, since it uses less digits than its factorization.

16072977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 16072977600 in words is "sixteen billion, seventy-two million, nine hundred seventy-seven thousand, six hundred".