17950797120 has 448 divisors, whose sum is σ = 61939261440. Its totient is φ = 4392960000.

The previous prime is 17950797107. The next prime is 17950797127. The reversal of 17950797120 is 2179705971.

It is a super-2 number, since 2×17950797120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 17950797120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17950797127) 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, 71516995 + ... + 71517245.

It is an arithmetic number, because the mean of its divisors is an integer number (138257280).

Almost surely, 2^17950797120 is an apocalyptic number.

17950797120 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 17950797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30969630720).

17950797120 is an abundant number, since it is smaller than the sum of its proper divisors (43988464320).

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

17950797120 is a wasteful number, since it uses less digits than its factorization.

17950797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 48.

The spelling of 17950797120 in words is "seventeen billion, nine hundred fifty million, seven hundred ninety-seven thousand, one hundred twenty".