73985218560 has 1344 divisors, whose sum is σ = 313236836640. Its totient is φ = 16562257920.

The previous prime is 73985218519. The next prime is 73985218583. The reversal of 73985218560 is 6581258937.

73985218560 is a `hidden beast` number, since 7 + 39 + 8 + 521 + 85 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 73985218497 and 73985218506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1395947494 + ... + 1395947546.

Almost surely, 2^73985218560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73985218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156618418320).

73985218560 is an abundant number, since it is smaller than the sum of its proper divisors (239251618080).

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

73985218560 is a wasteful number, since it uses less digits than its factorization.

73985218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 73985218560 in words is "seventy-three billion, nine hundred eighty-five million, two hundred eighteen thousand, five hundred sixty".