17978883120 has 800 divisors, whose sum is σ = 74261157696. Its totient is φ = 3981312000.

The previous prime is 17978883049. The next prime is 17978883191. The reversal of 17978883120 is 2138887971.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (17978883049) and next prime (17978883191).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44834920 + ... + 44835320.

Almost surely, 2^17978883120 is an apocalyptic number.

17978883120 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 17978883120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37130578848).

17978883120 is an abundant number, since it is smaller than the sum of its proper divisors (56282274576).

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

17978883120 is a wasteful number, since it uses less digits than its factorization.

17978883120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 17978883120 in words is "seventeen billion, nine hundred seventy-eight million, eight hundred eighty-three thousand, one hundred twenty".