785135535840 has 384 divisors, whose sum is σ = 2778471642240. Its totient is φ = 207057715200.

The previous prime is 785135535827. The next prime is 785135535857. The reversal of 785135535840 is 48535531587.

785135535840 is a `hidden beast` number, since 7 + 8 + 5 + 1 + 3 + 5 + 53 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166304680 + ... + 166309400.

It is an arithmetic number, because the mean of its divisors is an integer number (7235603235).

Almost surely, 2^785135535840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785135535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389235821120).

785135535840 is an abundant number, since it is smaller than the sum of its proper divisors (1993336106400).

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

785135535840 is a wasteful number, since it uses less digits than its factorization.

785135535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 785135535840 in words is "seven hundred eighty-five billion, one hundred thirty-five million, five hundred thirty-five thousand, eight hundred forty".