5386777760 has 288 divisors, whose sum is σ = 16886031120. Its totient is φ = 1604026368.

The previous prime is 5386777757. The next prime is 5386777769. The reversal of 5386777760 is 677776835.

It can be written as a sum of positive squares in 8 ways, for example, as 1199652496 + 4187125264 = 34636^2 + 64708^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 5386777696 and 5386777705.

It is not an unprimeable number, because it can be changed into a prime (5386777769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1731086 + ... + 1734194.

Almost surely, 2^5386777760 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 5386777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443015560).

5386777760 is an abundant number, since it is smaller than the sum of its proper divisors (11499253360).

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

5386777760 is a wasteful number, since it uses less digits than its factorization.

5386777760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 56.

The square root of 5386777760 is about 73394.6711962115. The cubic root of 5386777760 is about 1752.9775443057.

The spelling of 5386777760 in words is "five billion, three hundred eighty-six million, seven hundred seventy-seven thousand, seven hundred sixty".