16667723525040 has 960 divisors, whose sum is σ = 68454247219200. Its totient is φ = 3715526578176.

The previous prime is 16667723525027. The next prime is 16667723525053. The reversal of 16667723525040 is 4052532776661.

It is an interprime number because it is at equal distance from previous prime (16667723525027) and next prime (16667723525053).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 793048612 + ... + 793069628.

It is an arithmetic number, because the mean of its divisors is an integer number (71306507520).

Almost surely, 2^{16667723525040} is an apocalyptic number.

16667723525040 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 16667723525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34227123609600).

16667723525040 is an abundant number, since it is smaller than the sum of its proper divisors (51786523694160).

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

16667723525040 is a wasteful number, since it uses less digits than its factorization.

16667723525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21239 (or 21220 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 16667723525040 in words is "sixteen trillion, six hundred sixty-seven billion, seven hundred twenty-three million, five hundred twenty-five thousand, forty".