5090934576 has 480 divisors, whose sum is σ = 17554876416. Its totient is φ = 1257984000.

The previous prime is 5090934571. The next prime is 5090934581. The reversal of 5090934576 is 6754390905.

It is an interprime number because it is at equal distance from previous prime (5090934571) and next prime (5090934581).

It is a super-3 number, since 3×5090934576³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (5090934571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38862031 + ... + 38862161.

Almost surely, 2^5090934576 is an apocalyptic number.

5090934576 is a gapful number since it is divisible by the number (56) 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 5090934576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777438208).

5090934576 is an abundant number, since it is smaller than the sum of its proper divisors (12463941840).

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

5090934576 is a wasteful number, since it uses less digits than its factorization.

5090934576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The square root of 5090934576 is about 71350.7853916129. The cubic root of 5090934576 is about 1720.2801256390.

The spelling of 5090934576 in words is "five billion, ninety million, nine hundred thirty-four thousand, five hundred seventy-six".