16119290880 has 1188 divisors, whose sum is σ = 72625676760. Its totient is φ = 3292692480.

The previous prime is 16119290879. The next prime is 16119290897. The reversal of 16119290880 is 8809291161.

16119290880 is a `hidden beast` number, since 1 + 611 + 9 + 29 + 0 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 273208291 + ... + 273208349.

Almost surely, 2^16119290880 is an apocalyptic number.

16119290880 is a gapful number since it is divisible by the number (10) 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 16119290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36312838380).

16119290880 is an abundant number, since it is smaller than the sum of its proper divisors (56506385880).

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

16119290880 is a wasteful number, since it uses less digits than its factorization.

16119290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 16119290880 in words is "sixteen billion, one hundred nineteen million, two hundred ninety thousand, eight hundred eighty".