16938570240 has 120 divisors (see below), whose sum is σ = 58663112508. Its totient is φ = 4516945920.

The previous prime is 16938570239. The next prime is 16938570247. The reversal of 16938570240 is 4207583961.

16938570240 is a `hidden beast` number, since 1 + 6 + 9 + 38 + 570 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15324459264 + 1614110976 = 123792^2 + 40176^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16938570247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344551 + ... + 390630.

It is a 1-persistent number, because it is pandigital, but 2⋅16938570240 = 33877140480 is not.

Almost surely, 2^16938570240 is an apocalyptic number.

16938570240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16938570240 is an abundant number, since it is smaller than the sum of its proper divisors (41724542268).

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

16938570240 is an equidigital number, since it uses as much as digits as its factorization.

16938570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735210 (or 735191 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16938570240 in words is "sixteen billion, nine hundred thirty-eight million, five hundred seventy thousand, two hundred forty".