16267530240 has 832 divisors, whose sum is σ = 65171527680. Its totient is φ = 3822059520.

The previous prime is 16267530199. The next prime is 16267530241. The reversal of 16267530240 is 4203576261.

16267530240 is a `hidden beast` number, since 1 + 62 + 67 + 530 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a junction number, because it is equal to n+sod(n) for n = 16267530195 and 16267530204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16267530241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222842844 + ... + 222842916.

Almost surely, 2^16267530240 is an apocalyptic number.

16267530240 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 16267530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32585763840).

16267530240 is an abundant number, since it is smaller than the sum of its proper divisors (48903997440).

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

16267530240 is a wasteful number, since it uses less digits than its factorization.

16267530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 16267530240 in words is "sixteen billion, two hundred sixty-seven million, five hundred thirty thousand, two hundred forty".