1038355666560 has 640 divisors, whose sum is σ = 3918831840000. Its totient is φ = 261279571968.

The previous prime is 1038355666507. The next prime is 1038355666567. The reversal of 1038355666560 is 656665538301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1038355666497 and 1038355666506.

It is not an unprimeable number, because it can be changed into a prime (1038355666567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 264952281 + ... + 264956199.

It is an arithmetic number, because the mean of its divisors is an integer number (6123174750).

Almost surely, 2^{1038355666560} is an apocalyptic number.

1038355666560 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 1038355666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959415920000).

1038355666560 is an abundant number, since it is smaller than the sum of its proper divisors (2880476173440).

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

1038355666560 is a wasteful number, since it uses less digits than its factorization.

1038355666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 1038355666560 in words is "one trillion, thirty-eight billion, three hundred fifty-five million, six hundred sixty-six thousand, five hundred sixty".