5385656970 has 192 divisors, whose sum is σ = 15311462400. Its totient is φ = 1308389760.

The previous prime is 5385656963. The next prime is 5385656993. The reversal of 5385656970 is 796565835.

5385656970 is a `hidden beast` number, since 5 + 3 + 8 + 5 + 6 + 569 + 70 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15001651 + ... + 15002009.

It is an arithmetic number, because the mean of its divisors is an integer number (79747200).

Almost surely, 2^5385656970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5385656970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655731200).

5385656970 is an abundant number, since it is smaller than the sum of its proper divisors (9925805430).

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

5385656970 is a wasteful number, since it uses less digits than its factorization.

5385656970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 5385656970 is about 73387.0354354228. The cubic root of 5385656970 is about 1752.8559591908.

The spelling of 5385656970 in words is "five billion, three hundred eighty-five million, six hundred fifty-six thousand, nine hundred seventy".