10993521659904 has 351 divisors, whose sum is σ = 36954685456767. Its totient is φ = 3139732979712.

The previous prime is 10993521659899. The next prime is 10993521660041. The reversal of 10993521659904 is 40995612539901.

The square root of 10993521659904 is 3315648.

It is a perfect power (a square), and thus also a powerful number.

10993521659904 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 35 + 2 + 1 + 6 + 599 + 0 + 4 = 666.

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 26 ways as a sum of consecutive naturals, for example, 4456229679 + ... + 4456232145.

Almost surely, 2^{10993521659904} is an apocalyptic number.

10993521659904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10993521659904 is the 3315648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10993521659904

10993521659904 is an abundant number, since it is smaller than the sum of its proper divisors (25961163796863).

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

10993521659904 is an frugal number, since it uses more digits than its factorization.

10993521659904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 10993521659904 in words is "ten trillion, nine hundred ninety-three billion, five hundred twenty-one million, six hundred fifty-nine thousand, nine hundred four".