10485669730536 has 512 divisors, whose sum is σ = 39122296012800. Its totient is φ = 2513088737280.

The previous prime is 10485669730469. The next prime is 10485669730537. The reversal of 10485669730536 is 63503796658401.

10485669730536 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 5 + 6 + 6 + 97 + 3 + 0 + 536 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10485669730537) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 684748416 + ... + 684763728.

It is an arithmetic number, because the mean of its divisors is an integer number (76410734400).

Almost surely, 2^{10485669730536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10485669730536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561148006400).

10485669730536 is an abundant number, since it is smaller than the sum of its proper divisors (28636626282264).

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

10485669730536 is a wasteful number, since it uses less digits than its factorization.

10485669730536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18526 (or 18516 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 10485669730536 in words is "ten trillion, four hundred eighty-five billion, six hundred sixty-nine million, seven hundred thirty thousand, five hundred thirty-six".