17879209920 has 896 divisors, whose sum is σ = 76809600000. Its totient is φ = 3855237120.

The previous prime is 17879209889. The next prime is 17879209921. The reversal of 17879209920 is 2990297871.

It is a super-2 number, since 2×17879209920² (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 not an unprimeable number, because it can be changed into a prime (17879209921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35829831 + ... + 35830329.

It is an arithmetic number, because the mean of its divisors is an integer number (85725000).

Almost surely, 2^17879209920 is an apocalyptic number.

17879209920 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 17879209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38404800000).

17879209920 is an abundant number, since it is smaller than the sum of its proper divisors (58930390080).

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

17879209920 is a wasteful number, since it uses less digits than its factorization.

17879209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 17879209920 in words is "seventeen billion, eight hundred seventy-nine million, two hundred nine thousand, nine hundred twenty".