1017961603200 has 672 divisors, whose sum is σ = 3782318630400. Its totient is φ = 270592358400.

The previous prime is 1017961603133. The next prime is 1017961603213. The reversal of 1017961603200 is 23061697101.

1017961603200 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 9 + 616 + 0 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1117410745 + ... + 1117411655.

Almost surely, 2^{1017961603200} is an apocalyptic number.

1017961603200 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 1017961603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891159315200).

1017961603200 is an abundant number, since it is smaller than the sum of its proper divisors (2764357027200).

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

1017961603200 is an frugal number, since it uses more digits than its factorization.

1017961603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 1017961603200 in words is "one trillion, seventeen billion, nine hundred sixty-one million, six hundred three thousand, two hundred".