10989815474736 has 400 divisors, whose sum is σ = 39275544686400. Its totient is φ = 2955242465280.

The previous prime is 10989815474731. The next prime is 10989815474761. The reversal of 10989815474736 is 63747451898901.

10989815474736 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 9 + 8 + 1 + 547 + 4 + 73 + 6 = 666.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is not an unprimeable number, because it can be changed into a prime (10989815474731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6829846 + ... + 8284106.

It is an arithmetic number, because the mean of its divisors is an integer number (98188861716).

Almost surely, 2^{10989815474736} is an apocalyptic number.

10989815474736 is a gapful number since it is divisible by the number (16) 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 10989815474736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19637772343200).

10989815474736 is an abundant number, since it is smaller than the sum of its proper divisors (28285729211664).

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

10989815474736 is a wasteful number, since it uses less digits than its factorization.

10989815474736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454319 (or 1454290 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 10989815474736 in words is "ten trillion, nine hundred eighty-nine billion, eight hundred fifteen million, four hundred seventy-four thousand, seven hundred thirty-six".