5385777600 has 336 divisors, whose sum is σ = 20459801600. Its totient is φ = 1214853120.

The previous prime is 5385777583. The next prime is 5385777613. The reversal of 5385777600 is 67775835.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5385777600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2653386 + ... + 2655414.

Almost surely, 2^5385777600 is an apocalyptic number.

5385777600 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 5385777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229900800).

5385777600 is an abundant number, since it is smaller than the sum of its proper divisors (15074024000).

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

5385777600 is a wasteful number, since it uses less digits than its factorization.

5385777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The square root of 5385777600 is about 73387.8573062329. The cubic root of 5385777600 is about 1752.8690461386.

The spelling of 5385777600 in words is "five billion, three hundred eighty-five million, seven hundred seventy-seven thousand, six hundred".