5010890400 has 216 divisors, whose sum is σ = 18438507360. Its totient is φ = 1278097920.

The previous prime is 5010890351. The next prime is 5010890411. The reversal of 5010890400 is 40980105.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150471 + ... + 180729.

It is an arithmetic number, because the mean of its divisors is an integer number (85363460).

Almost surely, 2^5010890400 is an apocalyptic number.

5010890400 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 5010890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219253680).

5010890400 is an abundant number, since it is smaller than the sum of its proper divisors (13427616960).

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

5010890400 is a wasteful number, since it uses less digits than its factorization.

5010890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30308 (or 30292 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5010890400 is about 70787.6429894371. The cubic root of 5010890400 is about 1711.2165345489.

The spelling of 5010890400 in words is "five billion, ten million, eight hundred ninety thousand, four hundred".