10898361216000 has 1408 divisors, whose sum is σ = 42334532997120. Its totient is φ = 2759860224000.

The previous prime is 10898361215957. The next prime is 10898361216007. The reversal of 10898361216000 is 61216389801.

10898361216000 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 8 + 36 + 1 + 2 + 1 + 600 + 0 = 666.

It is a super-3 number, since 3×10898361216000³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10898361216007) 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, 13274495590 + ... + 13274496410.

Almost surely, 2^{10898361216000} is an apocalyptic number.

10898361216000 is a gapful number since it is divisible by the number (10) 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 10898361216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21167266498560).

10898361216000 is an abundant number, since it is smaller than the sum of its proper divisors (31436171781120).

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

10898361216000 is a wasteful number, since it uses less digits than its factorization.

10898361216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10898361216000 in words is "ten trillion, eight hundred ninety-eight billion, three hundred sixty-one million, two hundred sixteen thousand".