10998120893760 has 896 divisors, whose sum is σ = 52093704499200. Its totient is φ = 2109528023040.

The previous prime is 10998120893759. The next prime is 10998120893779. The reversal of 10998120893760 is 6739802189901.

10998120893760 is a `hidden beast` number, since 1 + 0 + 99 + 81 + 20 + 89 + 376 + 0 = 666.

It is a super-2 number, since 2×10998120893760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8012811 + ... + 9284469.

It is an arithmetic number, because the mean of its divisors is an integer number (58140295200).

Almost surely, 2^{10998120893760} is an apocalyptic number.

10998120893760 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 10998120893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26046852249600).

10998120893760 is an abundant number, since it is smaller than the sum of its proper divisors (41095583605440).

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

10998120893760 is a wasteful number, since it uses less digits than its factorization.

10998120893760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271716 (or 1271700 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 10998120893760 in words is "ten trillion, nine hundred ninety-eight billion, one hundred twenty million, eight hundred ninety-three thousand, seven hundred sixty".