5098654320400 has 45 divisors (see below), whose sum is σ = 12249625503583. Its totient is φ = 2039443664000.

The previous prime is 5098654320359. The next prime is 5098654320407. The reversal of 5098654320400 is 40234568905.

The square root of 5098654320400 is 2258020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1123320177424 + 3975334142976 = 1059868^2 + 1993824^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5098654320407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45103950 + ... + 45216850.

Almost surely, 2^{5098654320400} is an apocalyptic number.

5098654320400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5098654320400 is the 2258020-th square number.

It is an amenable number.

5098654320400 is an abundant number, since it is smaller than the sum of its proper divisors (7150971183183).

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

5098654320400 is an frugal number, since it uses more digits than its factorization.

5098654320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225820 (or 112908 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 5098654320400 in words is "five trillion, ninety-eight billion, six hundred fifty-four million, three hundred twenty thousand, four hundred".