22761295920 has 640 divisors, whose sum is σ = 93066900480. Its totient is φ = 5049630720.

The previous prime is 22761295873. The next prime is 22761295969. The reversal of 22761295920 is 2959216722.

22761295920 is a `hidden beast` number, since 2 + 2 + 7 + 612 + 9 + 5 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14944279 + ... + 14945801.

It is an arithmetic number, because the mean of its divisors is an integer number (145417032).

Almost surely, 2^22761295920 is an apocalyptic number.

22761295920 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 22761295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46533450240).

22761295920 is an abundant number, since it is smaller than the sum of its proper divisors (70305604560).

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

22761295920 is a wasteful number, since it uses less digits than its factorization.

22761295920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 22761295920 in words is "twenty-two billion, seven hundred sixty-one million, two hundred ninety-five thousand, nine hundred twenty".