50098646400 has 1152 divisors, whose sum is σ = 199843459200. Its totient is φ = 10975641600.

The previous prime is 50098646363. The next prime is 50098646401. The reversal of 50098646400 is 464689005.

It is a super-2 number, since 2×50098646400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50098646401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 849129571 + ... + 849129629.

It is an arithmetic number, because the mean of its divisors is an integer number (173475225).

Almost surely, 2^50098646400 is an apocalyptic number.

50098646400 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 50098646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99921729600).

50098646400 is an abundant number, since it is smaller than the sum of its proper divisors (149744812800).

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

50098646400 is a wasteful number, since it uses less digits than its factorization.

50098646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 50098646400 in words is "fifty billion, ninety-eight million, six hundred forty-six thousand, four hundred".