16280407000 has 512 divisors, whose sum is σ = 48938722560. Its totient is φ = 4976640000.

The previous prime is 16280406953. The next prime is 16280407043. The reversal of 16280407000 is 70408261.

It is a self number, because there is not a number n which added to its sum of digits gives 16280407000.

It is a congruent number.

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, 89946910 + ... + 89947090.

Almost surely, 2^16280407000 is an apocalyptic number.

16280407000 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 16280407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24469361280).

16280407000 is an abundant number, since it is smaller than the sum of its proper divisors (32658315560).

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

16280407000 is a wasteful number, since it uses less digits than its factorization.

16280407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

It can be divided in two parts, 16280 and 407000, that multiplied together give a square (6625960000 = 81400²).

The spelling of 16280407000 in words is "sixteen billion, two hundred eighty million, four hundred seven thousand".