50098922599680 has 1440 divisors, whose sum is σ = 194273104886784. Its totient is φ = 12331015077888.

The previous prime is 50098922599637. The next prime is 50098922599717. The reversal of 50098922599680 is 8699522989005.

50098922599680 is a `hidden beast` number, since 5 + 0 + 0 + 9 + 8 + 9 + 22 + 599 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×50098922599680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 50098922599599 and 50098922599608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22700009137 + ... + 22700011343.

Almost surely, 2^{50098922599680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50098922599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136552443392).

50098922599680 is an abundant number, since it is smaller than the sum of its proper divisors (144174182287104).

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

50098922599680 is an frugal number, since it uses more digits than its factorization.

50098922599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 50098922599680 in words is "fifty trillion, ninety-eight billion, nine hundred twenty-two million, five hundred ninety-nine thousand, six hundred eighty".