19280401920 has 640 divisors, whose sum is σ = 75620160000. Its totient is φ = 4626284544.

The previous prime is 19280401897. The next prime is 19280401937. The reversal of 19280401920 is 2910408291.

19280401920 is a `hidden beast` number, since 1 + 92 + 80 + 401 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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, 38637831 + ... + 38638329.

It is an arithmetic number, because the mean of its divisors is an integer number (118156500).

Almost surely, 2^19280401920 is an apocalyptic number.

19280401920 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 19280401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080000).

19280401920 is an abundant number, since it is smaller than the sum of its proper divisors (56339758080).

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

19280401920 is a wasteful number, since it uses less digits than its factorization.

19280401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 19280401920 in words is "nineteen billion, two hundred eighty million, four hundred one thousand, nine hundred twenty".