10998313961040 has 1920 divisors, whose sum is σ = 46329034752000. Its totient is φ = 2422215290880.

The previous prime is 10998313961023. The next prime is 10998313961071. The reversal of 10998313961040 is 4016931389901.

10998313961040 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 8 + 3 + 13 + 9 + 610 + 4 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25518129625 + ... + 25518130055.

It is an arithmetic number, because the mean of its divisors is an integer number (24129705600).

Almost surely, 2^{10998313961040} is an apocalyptic number.

10998313961040 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 10998313961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164517376000).

10998313961040 is an abundant number, since it is smaller than the sum of its proper divisors (35330720790960).

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

10998313961040 is an equidigital number, since it uses as much as digits as its factorization.

10998313961040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 10998313961040 in words is "ten trillion, nine hundred ninety-eight billion, three hundred thirteen million, nine hundred sixty-one thousand, forty".