16048972800 has 1056 divisors, whose sum is σ = 70178365440. Its totient is φ = 3516825600.

The previous prime is 16048972789. The next prime is 16048972837. The reversal of 16048972800 is 827984061.

16048972800 is a `hidden beast` number, since 160 + 489 + 7 + 2 + 8 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 149990347 + ... + 149990453.

Almost surely, 2^16048972800 is an apocalyptic number.

16048972800 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 16048972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35089182720).

16048972800 is an abundant number, since it is smaller than the sum of its proper divisors (54129392640).

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

16048972800 is a wasteful number, since it uses less digits than its factorization.

16048972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 160489 and 72800, that added together give a square (233289 = 483²).

The spelling of 16048972800 in words is "sixteen billion, forty-eight million, nine hundred seventy-two thousand, eight hundred".