22775829120 has 384 divisors, whose sum is σ = 89533641600. Its totient is φ = 5281013760.

The previous prime is 22775829091. The next prime is 22775829127. The reversal of 22775829120 is 2192857722.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×22775829120³ (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22775829127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449466 + ... + 1465094.

It is an arithmetic number, because the mean of its divisors is an integer number (233160525).

Almost surely, 2^22775829120 is an apocalyptic number.

22775829120 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 22775829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44766820800).

22775829120 is an abundant number, since it is smaller than the sum of its proper divisors (66757812480).

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

22775829120 is a wasteful number, since it uses less digits than its factorization.

22775829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15688 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 22775829120 in words is "twenty-two billion, seven hundred seventy-five million, eight hundred twenty-nine thousand, one hundred twenty".