19121402880 has 528 divisors, whose sum is σ = 70412706000. Its totient is φ = 4789370880.

The previous prime is 19121402879. The next prime is 19121402897. The reversal of 19121402880 is 8820412191.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 902882304 + 18218520576 = 30048^2 + 134976^2 .

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 47 ways as a sum of consecutive naturals, for example, 54788946 + ... + 54789294.

Almost surely, 2^19121402880 is an apocalyptic number.

19121402880 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 19121402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35206353000).

19121402880 is an abundant number, since it is smaller than the sum of its proper divisors (51291303120).

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

19121402880 is a wasteful number, since it uses less digits than its factorization.

19121402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 19121402880 in words is "nineteen billion, one hundred twenty-one million, four hundred two thousand, eight hundred eighty".