18219695523840 has 1152 divisors, whose sum is σ = 72989528976000. Its totient is φ = 4331922259968.

The previous prime is 18219695523791. The next prime is 18219695523851. The reversal of 18219695523840 is 4832559691281.

18219695523840 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 9 + 6 + 9 + 552 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803716026 + ... + 803738694.

It is an arithmetic number, because the mean of its divisors is an integer number (63358966125).

Almost surely, 2^{18219695523840} is an apocalyptic number.

18219695523840 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 18219695523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36494764488000).

18219695523840 is an abundant number, since it is smaller than the sum of its proper divisors (54769833452160).

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

18219695523840 is a wasteful number, since it uses less digits than its factorization.

18219695523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22747 (or 22715 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 18219695523840 in words is "eighteen trillion, two hundred nineteen billion, six hundred ninety-five million, five hundred twenty-three thousand, eight hundred forty".