22878535680 has 1440 divisors, whose sum is σ = 109920964608. Its totient is φ = 4246732800.

The previous prime is 22878535663. The next prime is 22878535681. The reversal of 22878535680 is 8653587822.

22878535680 is a `hidden beast` number, since 2 + 2 + 8 + 78 + 5 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×22878535680² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22878535681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738017265 + ... + 738017295.

Almost surely, 2^22878535680 is an apocalyptic number.

22878535680 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 22878535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54960482304).

22878535680 is an abundant number, since it is smaller than the sum of its proper divisors (87042428928).

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

22878535680 is a wasteful number, since it uses less digits than its factorization.

22878535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 22878535680 in words is "twenty-two billion, eight hundred seventy-eight million, five hundred thirty-five thousand, six hundred eighty".