22878638500320 has 288 divisors, whose sum is σ = 79855272282240. Its totient is φ = 5962117201920.

The previous prime is 22878638500313. The next prime is 22878638500331. The reversal of 22878638500320 is 2300583687822.

22878638500320 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 86 + 38 + 500 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44480776 + ... + 44992184.

It is an arithmetic number, because the mean of its divisors is an integer number (277275250980).

Almost surely, 2^{22878638500320} is an apocalyptic number.

22878638500320 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 22878638500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39927636141120).

22878638500320 is an abundant number, since it is smaller than the sum of its proper divisors (56976633781920).

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

22878638500320 is a wasteful number, since it uses less digits than its factorization.

22878638500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512138 (or 512127 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 22878638500320 in words is "twenty-two trillion, eight hundred seventy-eight billion, six hundred thirty-eight million, five hundred thousand, three hundred twenty".