16867941552 has 800 divisors, whose sum is σ = 65906210304. Its totient is φ = 4031078400.

The previous prime is 16867941539. The next prime is 16867941577. The reversal of 16867941552 is 25514976861.

It is a happy number.

16867941552 is a `hidden beast` number, since 1 + 6 + 86 + 7 + 9 + 4 + 1 + 552 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 103484223 + ... + 103484385.

Almost surely, 2^16867941552 is an apocalyptic number.

16867941552 is a gapful number since it is divisible by the number (12) 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 16867941552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32953105152).

16867941552 is an abundant number, since it is smaller than the sum of its proper divisors (49038268752).

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

16867941552 is a wasteful number, since it uses less digits than its factorization.

16867941552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 16867941552 in words is "sixteen billion, eight hundred sixty-seven million, nine hundred forty-one thousand, five hundred fifty-two".