1135207993920 has 672 divisors, whose sum is σ = 4925765851776. Its totient is φ = 217740902400.

The previous prime is 1135207993919. The next prime is 1135207993949. The reversal of 1135207993920 is 293997025311.

It is a tau number, because it is divible by the number of its divisors (672).

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, 6642340 + ... + 6811100.

It is an arithmetic number, because the mean of its divisors is an integer number (7330008708).

Almost surely, 2^{1135207993920} is an apocalyptic number.

1135207993920 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 1135207993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462882925888).

1135207993920 is an abundant number, since it is smaller than the sum of its proper divisors (3790557857856).

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

1135207993920 is a wasteful number, since it uses less digits than its factorization.

1135207993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168819 (or 168802 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The spelling of 1135207993920 in words is "one trillion, one hundred thirty-five billion, two hundred seven million, nine hundred ninety-three thousand, nine hundred twenty".