5780770934400 has 3456 divisors, whose sum is σ = 27480696122880. Its totient is φ = 1174238208000.

The previous prime is 5780770934387. The next prime is 5780770934413. The reversal of 5780770934400 is 44390770875.

5780770934400 is a `hidden beast` number, since 5 + 7 + 80 + 7 + 70 + 93 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5780770934387) and next prime (5780770934413).

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 44128022335 + ... + 44128022465.

Almost surely, 2^{5780770934400} is an apocalyptic number.

5780770934400 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 5780770934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740348061440).

5780770934400 is an abundant number, since it is smaller than the sum of its proper divisors (21699925188480).

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

5780770934400 is a wasteful number, since it uses less digits than its factorization.

5780770934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 5780770934400 in words is "five trillion, seven hundred eighty billion, seven hundred seventy million, nine hundred thirty-four thousand, four hundred".