1225664969760 has 1152 divisors, whose sum is σ = 5504303185920. Its totient is φ = 249229854720.

The previous prime is 1225664969747. The next prime is 1225664969797. The reversal of 1225664969760 is 679694665221.

1225664969760 is a `hidden beast` number, since 1 + 2 + 2 + 56 + 6 + 496 + 97 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 171971317 + ... + 171978443.

It is an arithmetic number, because the mean of its divisors is an integer number (4778040960).

Almost surely, 2^{1225664969760} is an apocalyptic number.

1225664969760 is a gapful number since it is divisible by the number (10) 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 1225664969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752151592960).

1225664969760 is an abundant number, since it is smaller than the sum of its proper divisors (4278638216160).

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

1225664969760 is a wasteful number, since it uses less digits than its factorization.

1225664969760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227 (or 7202 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 1225664969760 in words is "one trillion, two hundred twenty-five billion, six hundred sixty-four million, nine hundred sixty-nine thousand, seven hundred sixty".