22788138240 has 720 divisors, whose sum is σ = 98723826432. Its totient is φ = 4899667968.

The previous prime is 22788138239. The next prime is 22788138271. The reversal of 22788138240 is 4283188722.

22788138240 is a `hidden beast` number, since 2 + 278 + 8 + 138 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12336997 + ... + 12338843.

Almost surely, 2^22788138240 is an apocalyptic number.

22788138240 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 22788138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49361913216).

22788138240 is an abundant number, since it is smaller than the sum of its proper divisors (75935688192).

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

22788138240 is a wasteful number, since it uses less digits than its factorization.

22788138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

It can be divided in two parts, 22788 and 138240, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 22788138240 in words is "twenty-two billion, seven hundred eighty-eight million, one hundred thirty-eight thousand, two hundred forty".