17978657130 has 320 divisors, whose sum is σ = 56864966400. Its totient is φ = 4073908608.

The previous prime is 17978657129. The next prime is 17978657167. The reversal of 17978657130 is 3175687971.

It is a super-2 number, since 2×17978657130² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 45286092 + ... + 45286488.

It is an arithmetic number, because the mean of its divisors is an integer number (177703020).

Almost surely, 2^17978657130 is an apocalyptic number.

17978657130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17978657130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28432483200).

17978657130 is an abundant number, since it is smaller than the sum of its proper divisors (38886309270).

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

17978657130 is a wasteful number, since it uses less digits than its factorization.

17978657130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 17978657130 in words is "seventeen billion, nine hundred seventy-eight million, six hundred fifty-seven thousand, one hundred thirty".