16531949280 has 864 divisors, whose sum is σ = 68820681888. Its totient is φ = 3321077760.

The previous prime is 16531949279. The next prime is 16531949311. The reversal of 16531949280 is 8294913561.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105298962 + ... + 105299118.

It is an arithmetic number, because the mean of its divisors is an integer number (79653567).

Almost surely, 2^16531949280 is an apocalyptic number.

16531949280 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 16531949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410340944).

16531949280 is an abundant number, since it is smaller than the sum of its proper divisors (52288732608).

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

16531949280 is a wasteful number, since it uses less digits than its factorization.

16531949280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 16531949280 in words is "sixteen billion, five hundred thirty-one million, nine hundred forty-nine thousand, two hundred eighty".