10998689950976 has 864 divisors, whose sum is σ = 30012043235328. Its totient is φ = 3975926169600.

The previous prime is 10998689950973. The next prime is 10998689951021. The reversal of 10998689950976 is 67905998689901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (86).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10998689950973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7580075051 + ... + 7580076501.

It is an arithmetic number, because the mean of its divisors is an integer number (34736161152).

Almost surely, 2^{10998689950976} is an apocalyptic number.

10998689950976 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 10998689950976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006021617664).

10998689950976 is an abundant number, since it is smaller than the sum of its proper divisors (19013353284352).

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

10998689950976 is a wasteful number, since it uses less digits than its factorization.

10998689950976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 86.

The spelling of 10998689950976 in words is "ten trillion, nine hundred ninety-eight billion, six hundred eighty-nine million, nine hundred fifty thousand, nine hundred seventy-six".