19413650880 has 336 divisors, whose sum is σ = 73671159744. Its totient is φ = 4661821440.

The previous prime is 19413650827. The next prime is 19413650903. The reversal of 19413650880 is 8805631491.

19413650880 is a `hidden beast` number, since 1 + 9 + 4 + 136 + 508 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528717 + ... + 1541363.

It is an arithmetic number, because the mean of its divisors is an integer number (219259404).

Almost surely, 2^19413650880 is an apocalyptic number.

19413650880 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 19413650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36835579872).

19413650880 is an abundant number, since it is smaller than the sum of its proper divisors (54257508864).

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

19413650880 is a wasteful number, since it uses less digits than its factorization.

19413650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12724 (or 12711 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 19413650880 in words is "nineteen billion, four hundred thirteen million, six hundred fifty thousand, eight hundred eighty".