22155596460 has 288 divisors, whose sum is σ = 73788309504. Its totient is φ = 5356800000.

The previous prime is 22155596387. The next prime is 22155596471. The reversal of 22155596460 is 6469555122.

22155596460 is a `hidden beast` number, since 2 + 2 + 1 + 55 + 596 + 4 + 6 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 29501085 + ... + 29501835.

It is an arithmetic number, because the mean of its divisors is an integer number (256209408).

Almost surely, 2^22155596460 is an apocalyptic number.

22155596460 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 22155596460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36894154752).

22155596460 is an abundant number, since it is smaller than the sum of its proper divisors (51632713044).

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

22155596460 is a wasteful number, since it uses less digits than its factorization.

22155596460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 22155596460 in words is "twenty-two billion, one hundred fifty-five million, five hundred ninety-six thousand, four hundred sixty".