5185654656 has 128 divisors (see below), whose sum is σ = 16953216000. Its totient is φ = 1367635968.

The previous prime is 5185654651. The next prime is 5185654657. The reversal of 5185654656 is 6564565815.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5185654656² = 53782028422588956672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5185654599 and 5185654608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5185654651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39256 + ... + 109143.

It is an arithmetic number, because the mean of its divisors is an integer number (132447000).

Almost surely, 2^5185654656 is an apocalyptic number.

5185654656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5185654656 is an abundant number, since it is smaller than the sum of its proper divisors (11767561344).

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

5185654656 is a wasteful number, since it uses less digits than its factorization.

5185654656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148436 (or 148424 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 51.

The square root of 5185654656 is about 72011.4897499003. The cubic root of 5185654656 is about 1730.8836026595.

The spelling of 5185654656 in words is "five billion, one hundred eighty-five million, six hundred fifty-four thousand, six hundred fifty-six".