22807930078080 has 3072 divisors, whose sum is σ = 100989823334400. Its totient is φ = 4808437530624.

The previous prime is 22807930077991. The next prime is 22807930078081. The reversal of 22807930078080 is 8087003970822.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22807930078081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 71949306082 + ... + 71949306398.

It is an arithmetic number, because the mean of its divisors is an integer number (32874291450).

Almost surely, 2^{22807930078080} is an apocalyptic number.

22807930078080 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 22807930078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50494911667200).

22807930078080 is an abundant number, since it is smaller than the sum of its proper divisors (78181893256320).

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

22807930078080 is a wasteful number, since it uses less digits than its factorization.

22807930078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 22807930078080 in words is "twenty-two trillion, eight hundred seven billion, nine hundred thirty million, seventy-eight thousand, eighty".