5186490400 has 288 divisors, whose sum is σ = 15706994688. Its totient is φ = 1628467200.

The previous prime is 5186490359. The next prime is 5186490457. The reversal of 5186490400 is 40946815.

5186490400 = T₄₇₅ + T₄₇₆ + ... + T₃₁₄₈.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5186490400.

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 47 ways as a sum of consecutive naturals, for example, 13904614 + ... + 13904986.

It is an arithmetic number, because the mean of its divisors is an integer number (54538176).

Almost surely, 2^5186490400 is an apocalyptic number.

5186490400 is a gapful number since it is divisible by the number (50) 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 5186490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853497344).

5186490400 is an abundant number, since it is smaller than the sum of its proper divisors (10520504288).

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

5186490400 is a wasteful number, since it uses less digits than its factorization.

5186490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 5186490400 is about 72017.2923678751. The cubic root of 5186490400 is about 1730.9765833904.

The spelling of 5186490400 in words is "five billion, one hundred eighty-six million, four hundred ninety thousand, four hundred".