1135750875840 has 672 divisors, whose sum is σ = 4505686248960. Its totient is φ = 257222246400.

The previous prime is 1135750875823. The next prime is 1135750875871. The reversal of 1135750875840 is 485780575311.

1135750875840 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 7 + 50 + 8 + 7 + 584 + 0 = 666.

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, 1771841920 + ... + 1771842560.

Almost surely, 2^{1135750875840} is an apocalyptic number.

1135750875840 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 1135750875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252843124480).

1135750875840 is an abundant number, since it is smaller than the sum of its proper divisors (3369935373120).

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

1135750875840 is a wasteful number, since it uses less digits than its factorization.

1135750875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 1135750875840 in words is "one trillion, one hundred thirty-five billion, seven hundred fifty million, eight hundred seventy-five thousand, eight hundred forty".