5775025766400 has 2280 divisors, whose sum is σ = 24920762004864. Its totient is φ = 1307993702400.

The previous prime is 5775025766387. The next prime is 5775025766407. The reversal of 5775025766400 is 46675205775.

5775025766400 is a `hidden beast` number, since 5 + 7 + 7 + 5 + 0 + 2 + 576 + 64 + 0 + 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 not an unprimeable number, because it can be changed into a prime (5775025766407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134302924779 + ... + 134302924821.

Almost surely, 2^{5775025766400} is an apocalyptic number.

5775025766400 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 5775025766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12460381002432).

5775025766400 is an abundant number, since it is smaller than the sum of its proper divisors (19145736238464).

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

5775025766400 is an equidigital number, since it uses as much as digits as its factorization.

5775025766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 5775025766400 in words is "five trillion, seven hundred seventy-five billion, twenty-five million, seven hundred sixty-six thousand, four hundred".