22315253760 has 720 divisors, whose sum is σ = 85875753600. Its totient is φ = 5541986304.

The previous prime is 22315253759. The next prime is 22315253771. The reversal of 22315253760 is 6735251322.

22315253760 is a `hidden beast` number, since 2 + 231 + 52 + 5 + 376 + 0 = 666.

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

It is a super-3 number, since 3×22315253760³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378224611 + ... + 378224669.

It is an arithmetic number, because the mean of its divisors is an integer number (119271880).

Almost surely, 2^22315253760 is an apocalyptic number.

22315253760 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 22315253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42937876800).

22315253760 is an abundant number, since it is smaller than the sum of its proper divisors (63560499840).

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

22315253760 is an frugal number, since it uses more digits than its factorization.

22315253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 22315253760 in words is "twenty-two billion, three hundred fifteen million, two hundred fifty-three thousand, seven hundred sixty".