1001097140760 has 384 divisors, whose sum is σ = 3501105491520. Its totient is φ = 257057390592.

The previous prime is 1001097140737. The next prime is 1001097140777. The reversal of 1001097140760 is 670417901001.

1001097140760 is a `hidden beast` number, since 100 + 1 + 0 + 97 + 1 + 407 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34870732 + ... + 34899428.

Almost surely, 2^{1001097140760} is an apocalyptic number.

1001097140760 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 1001097140760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750552745760).

1001097140760 is an abundant number, since it is smaller than the sum of its proper divisors (2500008350760).

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

1001097140760 is a wasteful number, since it uses less digits than its factorization.

1001097140760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28857 (or 28841 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 1001097140760 in words is "one trillion, one billion, ninety-seven million, one hundred forty thousand, seven hundred sixty".