10898084736 has 960 divisors, whose sum is σ = 43729187040. Its totient is φ = 2627665920.

The previous prime is 10898084707. The next prime is 10898084749. The reversal of 10898084736 is 63748089801.

10898084736 is a `hidden beast` number, since 10 + 89 + 80 + 8 + 473 + 6 = 666.

It is a super-3 number, since 3×10898084736³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 149288796 + ... + 149288868.

Almost surely, 2^10898084736 is an apocalyptic number.

10898084736 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 10898084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864593520).

10898084736 is an abundant number, since it is smaller than the sum of its proper divisors (32831102304).

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

10898084736 is a wasteful number, since it uses less digits than its factorization.

10898084736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10898084736 in words is "ten billion, eight hundred ninety-eight million, eighty-four thousand, seven hundred thirty-six".