1663164507600 has 180 divisors, whose sum is σ = 5772209301612. Its totient is φ = 443467008000.

The previous prime is 1663164507479. The next prime is 1663164507611. The reversal of 1663164507600 is 67054613661.

1663164507600 is a `hidden beast` number, since 1 + 6 + 6 + 31 + 6 + 4 + 5 + 0 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 415591672896 + 1247572834704 = 644664^2 + 1116948^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1663164507600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55644660 + ... + 55674540.

Almost surely, 2^{1663164507600} is an apocalyptic number.

1663164507600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1663164507600 is an abundant number, since it is smaller than the sum of its proper divisors (4109044794012).

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

1663164507600 is a wasteful number, since it uses less digits than its factorization.

1663164507600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45366 (or 45352 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1663164507600 in words is "one trillion, six hundred sixty-three billion, one hundred sixty-four million, five hundred seven thousand, six hundred".