16926257040 has 320 divisors, whose sum is σ = 65716365312. Its totient is φ = 3501158400.

The previous prime is 16926256999. The next prime is 16926257041. The reversal of 16926257040 is 4075262961.

16926257040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16926256983 and 16926257001.

It is not an unprimeable number, because it can be changed into a prime (16926257041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4303875 + ... + 4307805.

Almost surely, 2^16926257040 is an apocalyptic number.

16926257040 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 16926257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32858182656).

16926257040 is an abundant number, since it is smaller than the sum of its proper divisors (48790108272).

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

16926257040 is a wasteful number, since it uses less digits than its factorization.

16926257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 16926257040 in words is "sixteen billion, nine hundred twenty-six million, two hundred fifty-seven thousand, forty".