19900513282888 has 128 divisors (see below), whose sum is σ = 43638439219200. Its totient is φ = 8331376045824.

The previous prime is 19900513282861. The next prime is 19900513282907. The reversal of 19900513282888 is 88828231500991.

It is a super-2 number, since 2×19900513282888² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689371831 + ... + 689400697.

It is an arithmetic number, because the mean of its divisors is an integer number (340925306400).

Almost surely, 2^{19900513282888} 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 19900513282888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21819219609600).

19900513282888 is an abundant number, since it is smaller than the sum of its proper divisors (23737925936312).

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

19900513282888 is a wasteful number, since it uses less digits than its factorization.

19900513282888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29939 (or 29935 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 64.

The spelling of 19900513282888 in words is "nineteen trillion, nine hundred billion, five hundred thirteen million, two hundred eighty-two thousand, eight hundred eighty-eight".