22178854642560 has 2048 divisors, whose sum is σ = 91732787712000. Its totient is φ = 4462685061120.

The previous prime is 22178854642559. The next prime is 22178854642573. The reversal of 22178854642560 is 6524645887122.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 22178854642494 and 22178854642503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 141266590002 + ... + 141266590158.

It is an arithmetic number, because the mean of its divisors is an integer number (44791400250).

Almost surely, 2^{22178854642560} is an apocalyptic number.

22178854642560 is a gapful number since it is divisible by the number (20) 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 22178854642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45866393856000).

22178854642560 is an abundant number, since it is smaller than the sum of its proper divisors (69553933069440).

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

22178854642560 is a wasteful number, since it uses less digits than its factorization.

22178854642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 60.

The spelling of 22178854642560 in words is "twenty-two trillion, one hundred seventy-eight billion, eight hundred fifty-four million, six hundred forty-two thousand, five hundred sixty".