20119034880 has 704 divisors, whose sum is σ = 86591047680. Its totient is φ = 4324589568.

The previous prime is 20119034839. The next prime is 20119034899. The reversal of 20119034880 is 8843091102.

It is a super-3 number, since 3×20119034880³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16449949 + ... + 16451171.

Almost surely, 2^20119034880 is an apocalyptic number.

20119034880 is a gapful number since it is divisible by the number (20) 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 20119034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43295523840).

20119034880 is an abundant number, since it is smaller than the sum of its proper divisors (66472012800).

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

20119034880 is a wasteful number, since it uses less digits than its factorization.

20119034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 20119034880 in words is "twenty billion, one hundred nineteen million, thirty-four thousand, eight hundred eighty".