5090150400 has 288 divisors, whose sum is σ = 17386387200. Its totient is φ = 1312358400.

The previous prime is 5090150381. The next prime is 5090150449. The reversal of 5090150400 is 40510905.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4761066 + ... + 4762134.

It is an arithmetic number, because the mean of its divisors is an integer number (60369400).

Almost surely, 2^5090150400 is an apocalyptic number.

5090150400 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 5090150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8693193600).

5090150400 is an abundant number, since it is smaller than the sum of its proper divisors (12296236800).

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

5090150400 is a wasteful number, since it uses less digits than its factorization.

5090150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5090150400 is about 71345.2899636689. The cubic root of 5090150400 is about 1720.1917940083.

The spelling of 5090150400 in words is "five billion, ninety million, one hundred fifty thousand, four hundred".