22175516784960 has 1764 divisors, whose sum is σ = 101237988878964. Its totient is φ = 4607612190720.

The previous prime is 22175516784943. The next prime is 22175516785001. The reversal of 22175516784960 is 6948761557122.

It is a happy number.

22175516784960 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 5 + 516 + 78 + 49 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2602749796416 + 19572766988544 = 1613304^2 + 4424112^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1383109104 + ... + 1383125136.

Almost surely, 2^{22175516784960} is an apocalyptic number.

22175516784960 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 22175516784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50618994439482).

22175516784960 is an abundant number, since it is smaller than the sum of its proper divisors (79062472094004).

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

22175516784960 is a wasteful number, since it uses less digits than its factorization.

22175516784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16104 (or 16061 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

It can be divided in two parts, 22175516 and 784960, that added together give a triangular number (22960476 = T₆₇₇₆).

The spelling of 22175516784960 in words is "twenty-two trillion, one hundred seventy-five billion, five hundred sixteen million, seven hundred eighty-four thousand, nine hundred sixty".