1017950280048 has 800 divisors, whose sum is σ = 3367456468992. Its totient is φ = 294716620800.

The previous prime is 1017950280037. The next prime is 1017950280071. The reversal of 1017950280048 is 8400820597101.

1017950280048 is a `hidden beast` number, since 10 + 17 + 9 + 502 + 80 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1017950279985 and 1017950280012.

It is a congruent number.

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, 3596997315 + ... + 3596997597.

Almost surely, 2^{1017950280048} is an apocalyptic number.

1017950280048 is a gapful number since it is divisible by the number (18) 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 1017950280048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683728234496).

1017950280048 is an abundant number, since it is smaller than the sum of its proper divisors (2349506188944).

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

1017950280048 is a wasteful number, since it uses less digits than its factorization.

1017950280048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1017950280048 in words is "one trillion, seventeen billion, nine hundred fifty million, two hundred eighty thousand, forty-eight".