5098766400 has 672 divisors, whose sum is σ = 22893812480. Its totient is φ = 1074954240.

The previous prime is 5098766363. The next prime is 5098766459. The reversal of 5098766400 is 46678905.

5098766400 is a `hidden beast` number, since 509 + 87 + 6 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3930552 + ... + 3931848.

Almost surely, 2^5098766400 is an apocalyptic number.

5098766400 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 5098766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11446906240).

5098766400 is an abundant number, since it is smaller than the sum of its proper divisors (17795046080).

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

5098766400 is a wasteful number, since it uses less digits than its factorization.

5098766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5098766400 is about 71405.6468355270. The cubic root of 5098766400 is about 1721.1618254536.

The spelling of 5098766400 in words is "five billion, ninety-eight million, seven hundred sixty-six thousand, four hundred".