17121948480 has 1680 divisors, whose sum is σ = 82112150736. Its totient is φ = 3344302080.

The previous prime is 17121948469. The next prime is 17121948491. The reversal of 17121948480 is 8484912171.

17121948480 is a `hidden beast` number, since 1 + 7 + 121 + 9 + 48 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (17121948469) and next prime (17121948491).

It can be written as a sum of positive squares in 8 ways, for example, as 2854123776 + 14267824704 = 53424^2 + 119448^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×17121948480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 280687650 + ... + 280687710.

Almost surely, 2^17121948480 is an apocalyptic number.

17121948480 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 17121948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41056075368).

17121948480 is an abundant number, since it is smaller than the sum of its proper divisors (64990202256).

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

17121948480 is a wasteful number, since it uses less digits than its factorization.

17121948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 17121948480 in words is "seventeen billion, one hundred twenty-one million, nine hundred forty-eight thousand, four hundred eighty".