10998146520 has 256 divisors, whose sum is σ = 38278656000. Its totient is φ = 2805580800.

The previous prime is 10998146513. The next prime is 10998146531. The reversal of 10998146520 is 2564189901.

10998146520 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 81 + 46 + 520 = 666.

10998146520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10998146520² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2977875 + ... + 2981565.

It is an arithmetic number, because the mean of its divisors is an integer number (149526000).

Almost surely, 2^10998146520 is an apocalyptic number.

10998146520 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 10998146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139328000).

10998146520 is an abundant number, since it is smaller than the sum of its proper divisors (27280509480).

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

10998146520 is a wasteful number, since it uses less digits than its factorization.

10998146520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10998146520 in words is "ten billion, nine hundred ninety-eight million, one hundred forty-six thousand, five hundred twenty".