1019097797760 has 1536 divisors, whose sum is σ = 4504389523200. Its totient is φ = 216339185664.

The previous prime is 1019097797737. The next prime is 1019097797771. The reversal of 1019097797760 is 677977909101.

It is a super-2 number, since 2×1019097797760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1194721494 + ... + 1194722346.

Almost surely, 2^{1019097797760} is an apocalyptic number.

1019097797760 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 1019097797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252194761600).

1019097797760 is an abundant number, since it is smaller than the sum of its proper divisors (3485291725440).

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

1019097797760 is a wasteful number, since it uses less digits than its factorization.

1019097797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 10501974, while the sum is 63.

The spelling of 1019097797760 in words is "one trillion, nineteen billion, ninety-seven million, seven hundred ninety-seven thousand, seven hundred sixty".