1011735720960 has 352 divisors, whose sum is σ = 3347985948672. Its totient is φ = 260497244160.

The previous prime is 1011735720857. The next prime is 1011735720967. The reversal of 1011735720960 is 690275371101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011735720967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231887739 + ... + 231892101.

Almost surely, 2^{1011735720960} is an apocalyptic number.

1011735720960 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 1011735720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673992974336).

1011735720960 is an abundant number, since it is smaller than the sum of its proper divisors (2336250227712).

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

1011735720960 is a wasteful number, since it uses less digits than its factorization.

1011735720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 1011735720960 in words is "one trillion, eleven billion, seven hundred thirty-five million, seven hundred twenty thousand, nine hundred sixty".