5186042400 has 864 divisors, whose sum is σ = 22656049920. Its totient is φ = 1016064000.

The previous prime is 5186042387. The next prime is 5186042413. The reversal of 5186042400 is 42406815.

It is an interprime number because it is at equal distance from previous prime (5186042387) and next prime (5186042413).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24578295 + ... + 24578505.

It is an arithmetic number, because the mean of its divisors is an integer number (26222280).

Almost surely, 2^5186042400 is an apocalyptic number.

5186042400 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 5186042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328024960).

5186042400 is an abundant number, since it is smaller than the sum of its proper divisors (17470007520).

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

5186042400 is a wasteful number, since it uses less digits than its factorization.

5186042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5186042400 is about 72014.1819366158. The cubic root of 5186042400 is about 1730.9267423753.

It can be divided in two parts, 5 and 186042400, that added together give a triangular number (186042405 = T₁₉₂₈₉).

The spelling of 5186042400 in words is "five billion, one hundred eighty-six million, forty-two thousand, four hundred".