5760769990500 has 1152 divisors, whose sum is σ = 22146116428800. Its totient is φ = 1288877184000.

The previous prime is 5760769990463. The next prime is 5760769990543. The reversal of 5760769990500 is 50999670675.

5760769990500 is a `hidden beast` number, since 5 + 7 + 60 + 7 + 69 + 9 + 9 + 0 + 500 = 666.

It is a super-3 number, since 3×5760769990500³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8125204146 + ... + 8125204854.

It is an arithmetic number, because the mean of its divisors is an integer number (19224059400).

Almost surely, 2^{5760769990500} is an apocalyptic number.

5760769990500 is a gapful number since it is divisible by the number (50) 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 5760769990500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073058214400).

5760769990500 is an abundant number, since it is smaller than the sum of its proper divisors (16385346438300).

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

5760769990500 is a wasteful number, since it uses less digits than its factorization.

5760769990500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 63.

It can be divided in two parts, 5760769 and 990500, that added together give a cube (6751269 = 189³).

The spelling of 5760769990500 in words is "five trillion, seven hundred sixty billion, seven hundred sixty-nine million, nine hundred ninety thousand, five hundred".