5385350880 has 1152 divisors, whose sum is σ = 25096780800. Its totient is φ = 1065996288.

The previous prime is 5385350879. The next prime is 5385350891. The reversal of 5385350880 is 880535835.

5385350880 is a `hidden beast` number, since 5 + 38 + 535 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52284909 + ... + 52285011.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 2^5385350880 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 5385350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548390400).

5385350880 is an abundant number, since it is smaller than the sum of its proper divisors (19711429920).

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

5385350880 is a wasteful number, since it uses less digits than its factorization.

5385350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 5385350880 is about 73384.9499556960. The cubic root of 5385350880 is about 1752.8227511193.

The spelling of 5385350880 in words is "five billion, three hundred eighty-five million, three hundred fifty thousand, eight hundred eighty".